5.5k citations
- HUN-REN Alfréd Rényi Institute of MathematicsHU7 papers
- Center for NanoScienceDE4 papers
- Institute for Solid State Physics and OpticsHU4 papers
- Ludwig-Maximilians-Universität MünchenDE4 papers
- Budapest University of Technology and EconomicsHU3 papers
- Centre National de la Recherche ScientifiqueFR2 papers
- Eötvös Loránd UniversityHU2 papers
- Joint Institute for VLBI ERICNL2 papers
- Konkoly ObservatoryHU2 papers
- Tohoku UniversityJP2 papers
- Universität InnsbruckAT2 papers
- University of PisaIT2 papers
6 papers · 1 filter
Heavy points of a d-dimensional simple random walk
Endre Csáki, Antónia Földes, Pál Révész
For a simple symmetric random walk in dimension , a uniform strong law of large numbers is proved for the number of sites with given local time up to time .
Closures of exponential families
Imre Csiszar, Frantisek Matus
The variation distance closure of an exponential family with a convex set of canonical parameters is described, assuming no regularity conditions. The tools are the concepts of con…
On the increments of the principal value of Brownian local time
Endre Csáki, Yueyun Hu
Let be a one-dimensional Brownian motion starting from 0. Define $Y(t)= \int_0^t{\d s \over W(s)} := \lim_{ε\to0} \int_0^t 1_{(|W(s)|> ε)} {\d s \over W(s)} $ as Cauchy's princ…
On a multivariate version of Bernstein's inequality
P. Major
We prove a multivariate version of Bernstein's inequality about the probability that degenerate -statistics take a value larger than some number . This is an improvement of f…
Hydrodynamic limit for perturbation of a hyperbolic equilibrium point in two-component systems
Benedek Valko
We consider one-dimensional, locally finite interacting particle systems with two conservation laws. The models have a family of stationary measures with product structure and we a…
Waiting for a bat to fly by (in polynomial time)
Itai Benjamini, Gady Kozma, Laszlo Lovasz +2
We observe returns of a simple random walk on a finite graph to a fixed node, and would like to infer properties of the graph, in particular properties of the spectrum of the trans…