Sayan Ghosh

collaborators

4 papers

math.PR2025

Martingale Characterizations of Non-Homogeneous Counting Processes and Their Fractional Variants

Kartik Tathe, Sayan Ghosh

This paper investigates the martingale characterizations of non-homogeneous counting processes and their fractional generalizations. We show that the weighted sum of non-homogeneou…

math.PR2025

Non-Homogeneous Generalized Fractional Skellam Process

Kartik Tathe, Sayan Ghosh

This paper introduces the Non-homogeneous Generalized Skellam process (NGSP) and its fractional version NGFSP by time changing it with an independent inverse stable subordinator. W…

math.NT2025

Subconvexity for Rankin Selberg L-Functions at Special Points

Sayan Ghosh

Let $f$ and $g$ be normalized Hecke-Maass cusp forms for the full modular group having spectral parameters $t_{f}$ and $t_{g}$ respectively with $t_{f}, t_{g} ≍ T \to \infty$ . I…

math.PR2025

Generalized Space Time Fractional Skellam Process

Kartik Tathe, Sayan Ghosh

This paper introduces the Generalized Space-Time Fractional Skellam Process (GSTFSP) and the Generalized Space Fractional Skellam Process (GSFSP). We investigate their distribution…