2 papers
math.PR2024
On the analytic extension of Random Riemann Zeta Functions for some probabilistic models of the primes
Vlad Margarint, Stanislav Molchanov
The first step in the formulation and study of the Riemann Hypothesis is the analytic continuation of the Riemann Zeta Function (RZF) in the full Complex Plane with a pole at …
math-ph2024
Brownian Motion on The Spider Like Quantum Graphs
Madhumita Paul, Stanislav Molchanov
The paper contains the probabilistic analysis of the Brownian motion on the simplest quantum graph, spider: a system of N-half axis connected only at the graph's origin by the simp…