B. Borda

collaborators

4 papers

math.PR2025

Random walks and quadratic number fields

Bence Borda

We establish a novel type of connection between random walks and analytic number theory. Working with a random walk on the circle group $R / Z$ in which each step i…

math.CA2025

Smoothing inequalities for transport metrics in compact spaces

Bence Borda, Jean-Claude Cuenin

We prove general upper estimates for the distance between two Borel probability measures in Wasserstein metric in terms of the Fourier transforms of the measures. We work in compac…

math.DS2025

Equidistribution of continued fraction convergents in $SL (2, Z_{m})$ with an application to local discrepancy

Bence Borda

Consider the sequence of continued fraction convergents $p_{n} / q_{n}$ to a random irrational number. We study the distribution of the sequences $p_{n} (mod m)$ and $q_{n} (mod m)$ with a…

math.NT2025

Limit laws for cotangent and Diophantine sums

Bence Borda, Lorenz FrÃ¼hwirth, Manuel Hauke

Limit laws for ergodic averages with a power singularity over circle rotations were first proved by Sinai and Ulcigrai, as well as Dolgopyat and Fayad. In this paper, we prove limi…

Random walks and quadratic number fields

Smoothing inequalities for transport metrics in compact spaces

Equidistribution of continued fraction convergents in SL(2,Zm​) with an application to local discrepancy

Limit laws for cotangent and Diophantine sums

Equidistribution of continued fraction convergents in $SL (2, Z_{m})$ with an application to local discrepancy