The measured fiducial cross section vs $E_{\mathrm{T}}^\gamma$. The central values are provided along with the statistical and systematic uncertainties together with the sign information. The statistical and "Uncor" uncertainty should be treated as uncorrelated bin-to-bin, while the rest are correlated between bins, and they are written as signed NP variations. The parton-to-particle correction factor $C_{theory}$ is the ratio of the cross-section predicted by Sherpa LO samples at particle level within the fiducial phase-space region defined in Table 4 to the predicted cross-section at parton level within the same fiducial region but with the smooth-cone isolation prescription defined above replacing the particle-level photon isolation criterion, and with Born-level leptons in place of dressed leptons. This correction should be applied on fixed order parton-level calculations. The systematic uncertainty is evaluated from a comparison with the correction factor obtained using events generated with SHERPA 2.2.2 at NLO. In the case that the calculations are valid for dressed leptons, a modified correction factor excluding the Born-to-dressed lepton correction should be applied instead. This correction only takes into account the particle-level isolation criteria, and is provided separately here. The Sherpa 2.2.8 NLO cross-sections given below include a small contribution from EW $Z\gamma jj$ production.

The measured fiducial cross section vs $|\eta^\gamma|$. The central values are provided along with the statistical and systematic uncertainties together with the sign information. The statistical and "Uncor" uncertainty should be treated as uncorrelated bin-to-bin, while the rest are correlated between bins, and they are written as signed NP variations. The parton-to-particle correction factor $C_{theory}$ is the ratio of the cross-section predicted by Sherpa LO samples at particle level within the fiducial phase-space region defined in Table 4 to the predicted cross-section at parton level within the same fiducial region but with the smooth-cone isolation prescription defined above replacing the particle-level photon isolation criterion, and with Born-level leptons in place of dressed leptons. This correction should be applied on fixed order parton-level calculations. The systematic uncertainty is evaluated from a comparison with the correction factor obtained using events generated with Sherpa 2.2.2 at NLO. The uncertainty is defined as Max(stat error, systematic difference between Sherpa LO and Sherpa 2.2.2 NLO), and cannot be considered correlated bin-to-bin. In the case that the calculations are valid for dressed leptons, a modified correction factor excluding the Born-to-dressed lepton correction should be applied instead. This correction only takes into account the particle-level isolation criteria, and is provided separately here. The Sherpa 2.2.8 NLO cross-sections given below include a small contribution from EW $Z\gamma jj$ production.

The measured fiducial cross section vs $|\eta^\gamma|$. The central values are provided along with the statistical and systematic uncertainties together with the sign information. The statistical and "Uncor" uncertainty should be treated as uncorrelated bin-to-bin, while the rest are correlated between bins, and they are written as signed NP variations. The parton-to-particle correction factor $C_{theory}$ is the ratio of the cross-section predicted by Sherpa LO samples at particle level within the fiducial phase-space region defined in Table 4 to the predicted cross-section at parton level within the same fiducial region but with the smooth-cone isolation prescription defined above replacing the particle-level photon isolation criterion, and with Born-level leptons in place of dressed leptons. This correction should be applied on fixed order parton-level calculations. The systematic uncertainty is evaluated from a comparison with the correction factor obtained using events generated with SHERPA 2.2.2 at NLO. In the case that the calculations are valid for dressed leptons, a modified correction factor excluding the Born-to-dressed lepton correction should be applied instead. This correction only takes into account the particle-level isolation criteria, and is provided separately here. The Sherpa 2.2.8 NLO cross-sections given below include a small contribution from EW $Z\gamma jj$ production.

The measured fiducial cross section vs $m(\ell\ell\gamma)$. The central values are provided along with the statistical and systematic uncertainties together with the sign information. The statistical and "Uncor" uncertainty should be treated as uncorrelated bin-to-bin, while the rest are correlated between bins, and they are written as signed NP variations. The parton-to-particle correction factor $C_{theory}$ is the ratio of the cross-section predicted by Sherpa LO samples at particle level within the fiducial phase-space region defined in Table 4 to the predicted cross-section at parton level within the same fiducial region but with the smooth-cone isolation prescription defined above replacing the particle-level photon isolation criterion, and with Born-level leptons in place of dressed leptons. This correction should be applied on fixed order parton-level calculations. The systematic uncertainty is evaluated from a comparison with the correction factor obtained using events generated with Sherpa 2.2.2 at NLO. The uncertainty is defined as Max(stat error, systematic difference between Sherpa LO and Sherpa 2.2.2 NLO), and cannot be considered correlated bin-to-bin. In the case that the calculations are valid for dressed leptons, a modified correction factor excluding the Born-to-dressed lepton correction should be applied instead. This correction only takes into account the particle-level isolation criteria, and is provided separately here. The Sherpa 2.2.8 NLO cross-sections given below include a small contribution from EW $Z\gamma jj$ production.

The measured fiducial cross section vs $m(\ell\ell\gamma)$. The central values are provided along with the statistical and systematic uncertainties together with the sign information. The statistical and "Uncor" uncertainty should be treated as uncorrelated bin-to-bin, while the rest are correlated between bins, and they are written as signed NP variations. The parton-to-particle correction factor $C_{theory}$ is the ratio of the cross-section predicted by Sherpa LO samples at particle level within the fiducial phase-space region defined in Table 4 to the predicted cross-section at parton level within the same fiducial region but with the smooth-cone isolation prescription defined above replacing the particle-level photon isolation criterion, and with Born-level leptons in place of dressed leptons. This correction should be applied on fixed order parton-level calculations. The systematic uncertainty is evaluated from a comparison with the correction factor obtained using events generated with SHERPA 2.2.2 at NLO. In the case that the calculations are valid for dressed leptons, a modified correction factor excluding the Born-to-dressed lepton correction should be applied instead. This correction only takes into account the particle-level isolation criteria, and is provided separately here. The Sherpa 2.2.8 NLO cross-sections given below include a small contribution from EW $Z\gamma jj$ production.

The measured fiducial cross section vs $p_{\mathrm{T}}^{\ell\ell\gamma}$. The central values are provided along with the statistical and systematic uncertainties together with the sign information. The statistical and "Uncor" uncertainty should be treated as uncorrelated bin-to-bin, while the rest are correlated between bins, and they are written as signed NP variations. The parton-to-particle correction factor $C_{theory}$ is the ratio of the cross-section predicted by Sherpa LO samples at particle level within the fiducial phase-space region defined in Table 4 to the predicted cross-section at parton level within the same fiducial region but with the smooth-cone isolation prescription defined above replacing the particle-level photon isolation criterion, and with Born-level leptons in place of dressed leptons. This correction should be applied on fixed order parton-level calculations. The systematic uncertainty is evaluated from a comparison with the correction factor obtained using events generated with Sherpa 2.2.2 at NLO. The uncertainty is defined as Max(stat error, systematic difference between Sherpa LO and Sherpa 2.2.2 NLO), and cannot be considered correlated bin-to-bin. In the case that the calculations are valid for dressed leptons, a modified correction factor excluding the Born-to-dressed lepton correction should be applied instead. This correction only takes into account the particle-level isolation criteria, and is provided separately here. The Sherpa 2.2.8 NLO cross-sections given below include a small contribution from EW $Z\gamma jj$ production.

The measured fiducial cross section vs $p_{\mathrm{T}}^{\ell\ell\gamma}$. The central values are provided along with the statistical and systematic uncertainties together with the sign information. The statistical and "Uncor" uncertainty should be treated as uncorrelated bin-to-bin, while the rest are correlated between bins, and they are written as signed NP variations. The parton-to-particle correction factor $C_{theory}$ is the ratio of the cross-section predicted by Sherpa LO samples at particle level within the fiducial phase-space region defined in Table 4 to the predicted cross-section at parton level within the same fiducial region but with the smooth-cone isolation prescription defined above replacing the particle-level photon isolation criterion, and with Born-level leptons in place of dressed leptons. This correction should be applied on fixed order parton-level calculations. The systematic uncertainty is evaluated from a comparison with the correction factor obtained using events generated with SHERPA 2.2.2 at NLO. In the case that the calculations are valid for dressed leptons, a modified correction factor excluding the Born-to-dressed lepton correction should be applied instead. This correction only takes into account the particle-level isolation criteria, and is provided separately here. The Sherpa 2.2.8 NLO cross-sections given below include a small contribution from EW $Z\gamma jj$ production.

The measured fiducial cross section vs $\Delta\phi(ll,\gamma)$. The central values are provided along with the statistical and systematic uncertainties together with the sign information. The statistical and "Uncor" uncertainty should be treated as uncorrelated bin-to-bin, while the rest are correlated between bins, and they are written as signed NP variations. The parton-to-particle correction factor $C_{theory}$ is the ratio of the cross-section predicted by Sherpa LO samples at particle level within the fiducial phase-space region defined in Table 4 to the predicted cross-section at parton level within the same fiducial region but with the smooth-cone isolation prescription defined above replacing the particle-level photon isolation criterion, and with Born-level leptons in place of dressed leptons. This correction should be applied on fixed order parton-level calculations. The systematic uncertainty is evaluated from a comparison with the correction factor obtained using events generated with Sherpa 2.2.2 at NLO. The uncertainty is defined as Max(stat error, systematic difference between Sherpa LO and Sherpa 2.2.2 NLO), and cannot be considered correlated bin-to-bin. In the case that the calculations are valid for dressed leptons, a modified correction factor excluding the Born-to-dressed lepton correction should be applied instead. This correction only takes into account the particle-level isolation criteria, and is provided separately here. The Sherpa 2.2.8 NLO cross-sections given below include a small contribution from EW $Z\gamma jj$ production.

The measured fiducial cross section vs $\Delta\phi(ll,\gamma)$. The central values are provided along with the statistical and systematic uncertainties together with the sign information. The statistical and "Uncor" uncertainty should be treated as uncorrelated bin-to-bin, while the rest are correlated between bins, and they are written as signed NP variations. The parton-to-particle correction factor $C_{theory}$ is the ratio of the cross-section predicted by Sherpa LO samples at particle level within the fiducial phase-space region defined in Table 4 to the predicted cross-section at parton level within the same fiducial region but with the smooth-cone isolation prescription defined above replacing the particle-level photon isolation criterion, and with Born-level leptons in place of dressed leptons. This correction should be applied on fixed order parton-level calculations. The systematic uncertainty is evaluated from a comparison with the correction factor obtained using events generated with SHERPA 2.2.2 at NLO. In the case that the calculations are valid for dressed leptons, a modified correction factor excluding the Born-to-dressed lepton correction should be applied instead. This correction only takes into account the particle-level isolation criteria, and is provided separately here. The Sherpa 2.2.8 NLO cross-sections given below include a small contribution from EW $Z\gamma jj$ production.

The measured fiducial cross section vs $p_{\mathrm{T}}^{\ell\ell\gamma}/m(\ell\ell\gamma)$. The central values are provided along with the statistical and systematic uncertainties together with the sign information. The statistical and "Uncor" uncertainty should be treated as uncorrelated bin-to-bin, while the rest are correlated between bins, and they are written as signed NP variations. The parton-to-particle correction factor $C_{theory}$ is the ratio of the cross-section predicted by Sherpa LO samples at particle level within the fiducial phase-space region defined in Table 4 to the predicted cross-section at parton level within the same fiducial region but with the smooth-cone isolation prescription defined above replacing the particle-level photon isolation criterion, and with Born-level leptons in place of dressed leptons. This correction should be applied on fixed order parton-level calculations. The systematic uncertainty is evaluated from a comparison with the correction factor obtained using events generated with Sherpa 2.2.2 at NLO. The uncertainty is defined as Max(stat error, systematic difference between Sherpa LO and Sherpa 2.2.2 NLO), and cannot be considered correlated bin-to-bin. In the case that the calculations are valid for dressed leptons, a modified correction factor excluding the Born-to-dressed lepton correction should be applied instead. This correction only takes into account the particle-level isolation criteria, and is provided separately here. The Sherpa 2.2.8 NLO cross-sections given below include a small contribution from EW $Z\gamma jj$ production.

The measured fiducial cross section vs $p_{\mathrm{T}}^{\ell\ell\gamma}/m(\ell\ell\gamma)$. The central values are provided along with the statistical and systematic uncertainties together with the sign information. The statistical and "Uncor" uncertainty should be treated as uncorrelated bin-to-bin, while the rest are correlated between bins, and they are written as signed NP variations. The parton-to-particle correction factor $C_{theory}$ is the ratio of the cross-section predicted by Sherpa LO samples at particle level within the fiducial phase-space region defined in Table 4 to the predicted cross-section at parton level within the same fiducial region but with the smooth-cone isolation prescription defined above replacing the particle-level photon isolation criterion, and with Born-level leptons in place of dressed leptons. This correction should be applied on fixed order parton-level calculations. The systematic uncertainty is evaluated from a comparison with the correction factor obtained using events generated with SHERPA 2.2.2 at NLO. In the case that the calculations are valid for dressed leptons, a modified correction factor excluding the Born-to-dressed lepton correction should be applied instead. This correction only takes into account the particle-level isolation criteria, and is provided separately here. The Sherpa 2.2.8 NLO cross-sections given below include a small contribution from EW $Z\gamma jj$ production.

Statistical correlation between bins in data for the differential cross sections for the production of W⁺ bosons as a function of the inclusive jet multiplicity.

Statistical correlation between bins in data for the differential cross sections for the production of W^- bosons as a function of the inclusive jet multiplicity.

Differential cross section for the production of W bosons as a function of H_T for events with N_jets ≥ 1.

Statistical correlation between bins in data for the differential cross section for the production of W bosons as a function of H_T for events with N_jets ≥ 1.

Differential cross sections for the production of W⁺ bosons, W^- bosons and the W⁺/W^- cross section ratio as a function of the H_T for events with N_jets ≥ 1.

Statistical correlation between bins in data for the differential cross sections for the production of W⁺ bosons as a function of the H_T for events with N_jets ≥ 1.

Statistical correlation between bins in data for the differential cross sections for the production of W^- bosons as a function of the H_T for events with N_jets ≥ 1.

Differential cross section for the production of W bosons as a function of the W p_T for events with N_jets ≥ 1.

Statistical correlation between bins in data for the differential cross section for the production of W bosons as a function of the W p_T for events with N_jets ≥ 1.

Differential cross sections for the production of W⁺ bosons, W^- bosons and the W⁺/W^- cross section ratio as a function of the W p_T for events with N_jets ≥ 1.

Statistical correlation between bins in data for the differential cross sections for the production of W⁺ bosons as a function of the W p_T for events with N_jets ≥ 1.

Statistical correlation between bins in data for the differential cross sections for the production of W^- bosons as a function of the W p_T for events with N_jets ≥ 1.

Differential cross section for the production of W bosons as a function of the leading jet p_T for events with N_jets ≥ 1.

Statistical correlation between bins in data for the differential cross section for the production of W bosons as a function of the leading jet p_T for events with N_jets ≥ 1.

Differential cross sections for the production of W⁺ bosons, W^- bosons and the W⁺/W^- cross section ratio as a function of the leading jet p_T for events with N_jets ≥ 1.

Statistical correlation between bins in data for the differential cross sections for the production of W⁺ bosons as a function of the leading jet p_T for events with N_jets ≥ 1.

Statistical correlation between bins in data for the differential cross sections for the production of W^- bosons as a function of the leading jet p_T for events with N_jets ≥ 1.

Differential cross section for the production of W bosons as a function of the leading jet rapidity for events with N_jets ≥ 1.

Statistical correlation between bins in data for the differential cross section for the production of W bosons as a function of the leading jet rapidity for events with N_jets ≥ 1.

Differential cross sections for the production of W⁺ bosons, W^- bosons and the W⁺/W^- cross section ratio as a function of the leading jet rapidity for events with N_jets ≥ 1.

Statistical correlation between bins in data for the differential cross sections for the production of W⁺ bosons as a function of the leading jet rapidity for events with N_jets ≥ 1.

Statistical correlation between bins in data for the differential cross sections for the production of W^- bosons as a function of the leading jet rapidity for events with N_jets ≥ 1.

Differential cross section for the production of W bosons as a function of second leading jet p_T for events with N_jets ≥ 2.

Statistical correlation between bins in data for the differential cross section for the production of W bosons as a function of second leading jet p_T for events with N_jets ≥ 2.

Differential cross section for the production of W bosons as a function of second leading jet rapidity for events with N_jets ≥ 2.

Statistical correlation between bins in data for the differential cross section for the production of W bosons as a function of second leading jet rapidity for events with N_jets ≥ 2.

Differential cross section for the production of W bosons as a function of Δ R_jet1,jet2 for events with N_jets ≥ 2.

Statistical correlation between bins in data for the differential cross section for the production of W bosons as a function of Δ R_jet1,jet2 for events with N_jets ≥ 2.

Differential cross section for the production of W bosons as a function of dijet invariant mass for events with N_jets ≥ 2.

Statistical correlation between bins in data for the differential cross section for the production of W bosons as a function of dijet invariant mass for events with N_jets ≥ 2.

Cross section for the production of W bosons as a function of exclusive jet multiplicity.

Statistical correlation between bins in data for the cross section for the production of W bosons as a function of exclusive jet multiplicity.

Differential cross section for the production of W bosons as a function of the H_T for events with N_jets ≥ 2.

Statistical correlation between bins in data for the differential cross section for the production of W bosons as a function of the H_T for events with N_jets ≥ 2.

Differential cross sections for the production of W⁺ bosons, W^- bosons and the W⁺/W^- cross section ratio as a function of the H_T for events with N_jets ≥ 2.

Statistical correlation between bins in data for the differential cross sections for the production of W⁺ bosons as a function of the H_T for events with N_jets ≥ 2.

Statistical correlation between bins in data for the differential cross sections for the production of W^- bosons as a function of the H_T for events with N_jets ≥ 2.

Differential cross section for the production of W bosons as a function of the W p_T for events with N_jets ≥ 2.

Statistical correlation between bins in data for the differential cross section for the production of W bosons as a function of the W p_T for events with N_jets ≥ 2.

Differential cross sections for the production of W⁺ bosons, W^- bosons and the W⁺/W^- cross section ratio as a function of the W p_T for events with N_jets ≥ 2.

Statistical correlation between bins in data for the differential cross sections for the production of W⁺ bosons as a function of the W p_T for events with N_jets ≥ 2.

Statistical correlation between bins in data for the differential cross sections for the production of W^- bosons as a function of the W p_T for events with N_jets ≥ 2.

Differential cross section for the production of W bosons as a function of the leading jet p_T for events with N_jets ≥ 2.

Statistical correlation between bins in data for the differential cross section for the production of W bosons as a function of the leading jet p_T for events with N_jets ≥ 2.

Differential cross sections for the production of W⁺ bosons, W^- bosons and the W⁺/W^- cross section ratio as a function of the leading jet p_T for events with N_jets ≥ 2.

Statistical correlation between bins in data for the differential cross sections for the production of W⁺ bosons as a function of the leading jet p_T for events with N_jets ≥ 2.

Statistical correlation between bins in data for the differential cross sections for the production of W^- bosons as a function of the leading jet p_T for events with N_jets ≥ 2.

Differential cross section for the production of W bosons as a function of the electron η for events with N_jets ≥ 0.

Statistical correlation between bins in data for the differential cross section for the production of W bosons as a function of the electron η for events with N_jets ≥ 0.

Differential cross sections for the production of W⁺ bosons, W^- bosons and the W⁺/W^- cross section ratio as a function of the electron η for events with N_jets ≥ 0.

Statistical correlation between bins in data for the differential cross sections for the production of W⁺ bosons as a function of the electron η for events with N_jets ≥ 0.

Statistical correlation between bins in data for the differential cross sections for the production of W^- bosons as a function of the electron η for events with N_jets ≥ 0.

Differential cross section for the production of W bosons as a function of the electron η for events with N_jets ≥ 1.

Statistical correlation between bins in data for the differential cross section for the production of W bosons as a function of the electron η for events with N_jets ≥ 1.

Differential cross sections for the production of W⁺ bosons, W^- bosons and the W⁺/W^- cross section ratio as a function of the electron η for events with N_jets ≥ 1.

Statistical correlation between bins in data for the differential cross sections for the production of W⁺ bosons as a function of the electron η for events with N_jets ≥ 1.

Statistical correlation between bins in data for the differential cross sections for the production of W^- bosons as a function of the electron η for events with N_jets ≥ 1.

List of experimentally considered systematic uncertainties for the W+jets cross section measurement

Non-perturbative corrections for the cross section for the production of W bosons for different inclusive jet multiplicities.

Non-perturbative corrections for the differential cross sections for the production of W⁺ bosons and W^- bosons as a function of the inclusive jet multiplicity.

Non-perturbative corrections for the differential cross section for the production of W bosons as a function of H_T for events with N_jets ≥ 1.

Non-perturbative corrections for the differential cross sections for the production of W⁺ bosons and W^- bosons as a function of the H_T for events with N_jets ≥ 1.

Non-perturbative corrections for the differential cross section for the production of W bosons as a function of the W p_T for events with N_jets ≥ 1.

Non-perturbative corrections for the differential cross sections for the production of W⁺ bosons and W^- bosons as a function of the W p_T for events with N_jets ≥ 1.

Non-perturbative corrections for the differential cross section for the production of W bosons as a function of the leading jet p_T for events with N_jets ≥ 1.

Non-perturbative corrections for the differential cross sections for the production of W⁺ bosons and W^- bosons as a function of the leading jet p_T for events with N_jets ≥ 1.

Non-perturbative corrections for the differential cross section for the production of W bosons as a function of the leading jet rapidity for events with N_jets ≥ 1.

Non-perturbative corrections for the differential cross sections for the production of W⁺ bosons and W^- bosons as a function of the leading jet rapidity for events with N_jets ≥ 1.

Non-perturbative corrections for the differential cross section for the production of W bosons as a function of second leading jet p_T for events with N_jets ≥ 2.

Non-perturbative corrections for the differential cross section for the production of W bosons as a function of second leading jet rapidity for events with N_jets ≥ 2.

Non-perturbative corrections for the differential cross section for the production of W bosons as a function of Δ R_jet1,jet2 for events with N_jets ≥ 2.

Non-perturbative corrections for the differential cross section for the production of W bosons as a function of dijet invariant mass for events with N_jets ≥ 2.

Non-perturbative corrections for the cross section for the production of W bosons as a function of exclusive jet multiplicity.

Non-perturbative corrections for the differential cross section for the production of W bosons as a function of the H_T for events with N_jets ≥ 2.

Non-perturbative corrections for the differential cross sections for the production of W⁺ bosons and W^- bosons as a function of the H_T for events with N_jets ≥ 2.

Non-perturbative corrections for the differential cross section for the production of W bosons as a function of the W p_T for events with N_jets ≥ 2.

Non-perturbative corrections for the differential cross sections for the production of W⁺ bosons and W^- bosons as a function of the W p_T for events with N_jets ≥ 2.

Non-perturbative corrections for the differential cross section for the production of W bosons as a function of the leading jet p_T for events with N_jets ≥ 2.

Non-perturbative corrections for the differential cross sections for the production of W⁺ bosons and W^- bosons as a function of the leading jet p_T for events with N_jets ≥ 2.

NNLO/NLO k-factors determined with NNLO Njetti for the differential cross sections for the production of W⁺ bosons and W^- bosons as a function of the H_T for events with N_jets ≥ 1. These numbers were obtained with code described in Phys. Rev. Lett. 115 (2015) 062002 [arXiv:1504.02131].

NNLO/NLO k-factors determined with NNLO Njetti for the differential cross sections for the production of W⁺ bosons and W^- bosons as a function of the W p_T for events with N_jets ≥ 1. These numbers were obtained with code described in Phys. Rev. Lett. 115 (2015) 062002 [arXiv:1504.02131].

NNLO/NLO k-factors determined with NNLO Njetti for the differential cross sections for the production of W⁺ bosons and W^- bosons as a function of the leading jet p_T for events with N_jets ≥ 1. These numbers were obtained with code described in Phys. Rev. Lett. 115 (2015) 062002 [arXiv:1504.02131].

NNLO/NLO k-factors determined with NNLO Njetti for the differential cross sections for the production of W⁺ bosons and W^- bosons as a function of the leading jet rapidity for events with N_jets ≥ 1. These numbers were obtained with code described in Phys. Rev. Lett. 115 (2015) 062002 [arXiv:1504.02131].

Mean multiplicity for the enriched (b bbar) data set extrapolated with JETSET 7.3.

The total production rates of LAMBDA(1520). The first error is the fit error and the second DSYS error is due to the extrapolation to the full x-range.

(Transverse + longitudinal) components of the differential cross section.

No description provided.

Ratio of the longitudinal to the transverse component of the fragmentation function.

Transverse and longitudinal components of the differential cross section.

Transverse and longitudinal componentS of the differential cross section.

No description provided.

No description provided.

No description provided.

No description provided.

No description provided.

No description provided.

No description provided.

No description provided.

No description provided.

No description provided.

No description provided.

F(x) is the invariant distribution.

F(x) is the invariant distribution.

F(x) is the invariant distribution.

F(x) is the invariant distribution.

F(x) is the invariant distribution.

No description provided.