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20212026
most citedNote on the -Logarithmic Sobolev and -Talagrand Inequalities on Carnot Groups

4 citations · 8 across the 8 of their papers we have counts for

collaborators

8 papers

cs.LG2026

Label-Efficient Learning for Ground-Based Sky-Image Classification: A Benchmark of Transfer Learning, Active Learning, and Pseudo-Labeling on GCD

Esther Bou Dagher, Viktoriya Bu-Dager, Boguslaw Zegarlinski

Accurate ground-based cloud classification is important for atmospheric monitoring, solar-energy forecasting, aviation weather assessment, and climate observation systems. However,…

math.AP2026

On a PDE model for Learning in Stochastic Market Entry Games

Esther Bou Dagher, Misha Perepelitsa, Ewelina Zatorska

We study a continuum model for stochastic reinforcement learning in repeated market entry games. Starting from a discrete-time microscopic learning rule, we derive a Fokker--Planck…

math.FA2024

Higher order coercive inequalities on nilpotent Lie groups

Esther Bou Dagher, Yifu Wang, Boguslaw Zegarlinski

In this work, we study regularity problems of certain Markov generators, which naturally appear in the context of analysis in functional spaces associated to probability measures o…

math.FA2022★ 1 cited

Spectral Gap Inequalities on Nilpotent Lie Groups in Infinite Dimensions

Esther Bou Dagher, Yaozhong Qiu, Boguslaw Zegarlinski +1

We develop a general framework for spectral gap inequalities for Gibbs measures on infinite dimensional spin spaces over nilpotent Lie groups in terms of weak U-bounds and weak sin…

math.AP2022

Interpolation inequalities on the sphere and phase transition: rigidity, symmetry and symmetry breaking

Esther Bou Dagher, Jean Dolbeault

This paper is devoted to the study of phase transitions associated to a large family of Gagliardo-Nirenberg-Sobolev interpolation inequalities on the sphere depending on one parame…

math.FA2021★ 4 cited

Note on the -Logarithmic Sobolev and -Talagrand Inequalities on Carnot Groups

Esther Bou Dagher

In the setting of Carnot groups, we prove the Logarithmic Sobolev inequality for probability measures as a function of the Carnot-Carathéodory distance. As an application, we u…

math.FA2021★ 3 cited

Coercive Inequalities and U-Bounds

Esther Bou Dagher, Boguslaw Zegarlinski

We prove Poincaré and Log-Sobolev inequalities for probability measures on step-two Carnot groups.

math.FA2021

Coercive Inequalities on Carnot Groups: Taming Singularities

Esther Bou Dagher, Boguslaw Zegarlinski

In the setting of Carnot groups, we propose an approach of taming singularities to get coercive inequalities. To this end, we develop a technique to introduce natural singularities…