Rohan Sarkar

collaborators

2 papers

math.AP2026

Fractional heat content asymptotics for Carnot groups

Rohan Sarkar

We propose a novel approach for studying small-time asymptotics of the fractional heat content of $C^{2}$ non-characteristic domains in Carnot groups. Denoting the sub-Laplacian oper…

math.PR2026

Small time asymptotics of spectral heat content of isotropic processes

Rohan Sarkar

The spectral heat content of a domain $I^c ◯ \subset R^{d}$ corresponding to a $d$ -dimensional stochastic process $X = (X_{t})_{t \geq 0}$ is defined as \[Q^{X}_Î©(t)=\int_{\mathbb{R}^…