Stochastic Analysis and Related Topics

1. Front Matter

   Pages i-vii

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2. Positive-Homogeneous Operators, Heat Kernel Estimates and the Legendre-Fenchel Transform

   • Evan Randles, Laurent Saloff-Coste

   Pages 1-55

3. Strong Stability of Heat Kernels of Non-symmetric Stable-Like Operators

   • Zhen-Qing Chen, Xicheng Zhang

   Pages 57-65

4. Multiplicative Functional for the Heat Equation on Manifolds with Boundary

   • Cheng Ouyang

   Pages 67-83

5. Connections Between the Dirichlet and the Neumann Problem for Continuous and Integrable Boundary Data

   • Lucian Beznea, Mihai N. Pascu, Nicolae R. Pascu

   Pages 85-97

6. Decomposition and Limit Theorems for a Class of Self-Similar Gaussian Processes

   • Daniel Harnett, David Nualart

   Pages 99-116

7. On A Priori Estimates for Rough PDEs

   • Qi Feng, Samy Tindel

   Pages 117-138

8. Lévy Systems and Moment Formulas for Mixed Poisson Integrals

   • Krzysztof Bogdan, Jan Rosiński, Grzegorz Serafin, Łukasz Wojciechowski

   Pages 139-164

9. Conformal Transforms and Doob’s h-Processes on Heisenberg Groups

   • Jing Wang

   Pages 165-177

10. On the Macroscopic Fractal Geometry of Some Random Sets

    • Davar Khoshnevisan, Yimin Xiao

    Pages 179-206

11. Critical Behavior of Mean-Field XY and Related Models

    • Kay Kirkpatrick, Tayyab Nawaz

    Pages 207-221

The articles in this collection are a sampling of some of the research presented during the conference “Stochastic Analysis and Related Topics”, held in May of 2015 at Purdue University in honor of the 60^th birthday of Rodrigo Bañuelos. A wide variety of topics in probability theory is covered in these proceedings, including heat kernel estimates, Malliavin calculus, rough paths differential equations, Lévy processes, Brownian motion on manifolds, and spin glasses, among other topics.

• Lévy processes
• Brownian motion
• fractional Brownian motion
• heat kernel estimates
• rough paths
• phase transitions
• partial differential equations

• Department of Mathematics, University of Connecticut, Storrs, USA

  Fabrice Baudoin

• Department of Mathematics, Purdue University, West Lafayette, USA

  Jonathon Peterson

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