Necessary and sufficient conditions are given for convergence to a unique IPVT on proper pointed measured metric spaces, with proofs for higher-rank symmetric spaces and Diestel-Leader graphs showing parameter independence and distinguishable cells.
Reflected solutions of backward SDE's, and related obstacle problems for PDE's
8 Pith papers cite this work. Polarity classification is still indexing.
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UNVERDICTED 8representative citing papers
Newton's recursive mixture estimator is a discrete gradient flow on the Fisher-Rao manifold of probability measures.
Proves sharp Gaussian isoperimetric inequality for conjugate heat-kernel measures along Ricci flow via monotonicity formula, with consequences for concentration estimates, log-Sobolev inequalities, and related results.
Uniform analyticity of local observables is proved in FK-percolation under mixing conditions, yielding analyticity of Potts/Ising magnetization in the supercritical regime and susceptibility in the subcritical regime.
Constructs canonical p-energy measures for strongly local p-energy forms, proves chain/Leibniz rules and uniqueness, and shows coincidence with Korevaar-Schoen-type measures via a p-analogue of Le Jan's domination principle.
Proves O(1/sqrt(penalty)) convergence rate between reflected quadratic-generator BSDEs and penalized BSDEs via BMO martingales, with application to Euler polygonal approximation for sub-quadratic generators.
The paper establishes existence and uniqueness for generalized mean-reflected McKean-Vlasov BSDEs via stability estimates for uniqueness and a penalization-plus-smooth-approximation argument for existence.
Bayesian nonparametric mixtures of Poisson and normal regressions using DP and PY priors are fitted via MCMC to predict claims frequency and severity, with an illustration on French motor insurance data.
citing papers explorer
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Convergence towards Ideal Poisson--Voronoi tessellations with a focus on Diestel--Leader graphs
Necessary and sufficient conditions are given for convergence to a unique IPVT on proper pointed measured metric spaces, with proofs for higher-rank symmetric spaces and Diestel-Leader graphs showing parameter independence and distinguishable cells.
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Newton's Algorithm as a Gradient Flow: A Geometric Framework for Recursive Mixture Estimation
Newton's recursive mixture estimator is a discrete gradient flow on the Fisher-Rao manifold of probability measures.
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Sharp Gaussian Isoperimetry along a Ricci Flow
Proves sharp Gaussian isoperimetric inequality for conjugate heat-kernel measures along Ricci flow via monotonicity formula, with consequences for concentration estimates, log-Sobolev inequalities, and related results.
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Uniform analyticity of local observables in FK-percolation and analyticity of the Ising spontaneous magnetisation
Uniform analyticity of local observables is proved in FK-percolation under mixing conditions, yielding analyticity of Potts/Ising magnetization in the supercritical regime and susceptibility in the subcritical regime.
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A note on convergence rate for reflected BSDEs with quadratic generators by penalization method
Proves O(1/sqrt(penalty)) convergence rate between reflected quadratic-generator BSDEs and penalized BSDEs via BMO martingales, with application to Euler polygonal approximation for sub-quadratic generators.
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Well-Posedness of Generalized Mean-Reflected McKean-Vlasov Backward Stochastic Differential Equations
The paper establishes existence and uniqueness for generalized mean-reflected McKean-Vlasov BSDEs via stability estimates for uniqueness and a penalization-plus-smooth-approximation argument for existence.