Carl Mueller

Carl Mueller is a full professor at the University of Rochester, specializing in stochastic partial differential equations (SPDE) and related areas of probability and analysis. His career includes roles at the University of Texas (1981–1984) and postdoctoral fellowships at the University of Illinois (1979–1981). He holds a PhD from the Berkeley Statistics Department (1979). His research explores qualitative properties of SPDE solutions, including blow-up, support, die-out, phase transitions, and connections to particle systems like the Dawson-Watanabe process. He has conducted sabbaticals at institutions including the University of Minnesota, University of British Columbia, and the Mittag-Leffler Institute.

Education:

• PhD, Statistics, University of California, Berkeley, 1979
• NSF Postdoctoral Fellowship, University of Illinois, 1979–1981

Research focuses on SPDE models in statistical physics, nonlinear dynamics, and their applications to particle systems. Recent work analyzes SPDE with singular solutions, vector-valued solutions, and models penalizing self-intersections. His publications span leading journals in probability and mathematical physics, emphasizing theoretical rigor and interdisciplinary connections.

Collaborations include projects with D. Khoshnevisan, E. Neuman, L. Mytnik, and others. Key themes in his articles include dissipation mechanisms in SPDE, phase transitions in reaction-diffusion systems, and scaling properties of stochastic processes. His work bridges stochastic analysis with physical modeling, contributing to foundational understanding of complex systems.

No specific grants or labs are mentioned, though his sabbatical visits indicate engagement with collaborative research networks. He has advised multiple PhD students (though no names listed in the text) and contributed to areas like self-repelling elastic manifolds and polymer dynamics.