Peter Morfe

I am an Assistant Professor in mathematics at Penn State University. I'm broadly interested in problems at the intersection of analysis and probability.

From 2022--2025, I was a postdoc at the Max Planck Institute in Leipzig, mentored by Felix Otto. I was funded by an NSF postdoctoral fellowship (MSPRF) from 2022--2024. Prior to that, I completed my Ph.D. at the University of Chicago in 2022 under the supervision of P.E. Souganidis.

Curriculum Vitae: Here

E-mail: pmorfe [at] psu.edu

Publications and Preprints:

(1) Analysis of a class of recursive distributional equations including the resistance of the series-parallel graph

Preprint (2025): https://arxiv.org/abs/2511.11036

(2) A Critical Drift-Diffusion Equation: Intermittent Behavior via Geometric Brownian Motion on SL(n)

(with F. Otto, C. Wagner) Preprint (2025): https://arxiv.org/abs/2511.15473

(3) Diffuse Interface Energies with Microscopic Heterogeneities: Homogenization and Rare Events

(with C. Wagner) Preprint (2024): https://arxiv.org/abs/2408.14914

(4) Comparison Principles for the Finsler Infinity Laplacian with Applications to Minimal Lipschitz Extensions

Preprint (2024): https://arxiv.org/abs/2405.05684

(5) The Gaussian free-field as a stream function: asymptotics of effective diffusivity in infrared cut-off

(with G. Chatzigeorgiou, F. Otto, L. Wang) Ann. Probab. (2025)

(6) Comparison principles for second order elliptic/parabolic equations with discontinuities in the gradient compatible with Finsler norms

(with P.E. Souganidis) J. Funct. Anal. (2023)

(7) Hamilton-Jacobi scaling limits of Pareto peeling in 2D

(with A. Bou-Rabee) Probab. Theory Relat. Fields (2024)

(8) The occurence of surface tension gradient discontinuities and zero mobility for Allen-Cahn and curvature flows in periodic media

(with W. Feldman) Interfaces Free Boundaries (2023)

(9) On the homogenization of second order level set PDE in periodic media

Preprint (2020)

(10) Homogenization of the Allen-Cahn Equation with Periodic Mobility

Calc. Var Partial Differential Equations (2022)

(11) A Variational Principle for Pulsating Standing Waves and an Einstein Relation in the Sharp Interface Limit

Arch. Ration. Mech. Anal. (2022)

(12) Surface Tension and Γ-Convergence of Van der Waals-Cahn-Hilliard Phase Transitions in Stationary Ergodic Media

J. Stat. Phys. (2020)

(13) Convergence and Rates for Hamilton-Jacobi Equations with Kirchoff Junction Conditions

NoDEA Nonlinear Differential Equations Appl. (2020)

(14) Limiting distributions for countable state topological Markov chains with holes

(with M. Demers, C.J. Ianzano, P. Mayer, and E.C. Yoo) Discrete and Cont. Dynam. Syst. (2017)

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