Mathav Murugan

Assistant Professor

Research Classification

Research Interests

boundary theory
Metric geometry
potential theory
probability theory and analysis
quasiconformal mappings
relationship between behavior of Markov processes and the geometry of the underlying state space
Sandpile models

Relevant Thesis-Based Degree Programs


Graduate Student Supervision

Master's Student Supervision

Theses completed in 2010 or later are listed below. Please note that there is a 6-12 month delay to add the latest theses.

Helmholtz solutions for the fractional Laplacian and other related operators (2022)

We show that the bounded solutions to the fractional Helmholtz equation, (−∆)ˢ u = u for 0
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Membership Status

Member of G+PS
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Program Affiliations

Academic Unit(s)


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