6 citations · 7 across the 7 of their papers we have counts for
8 papers
Extrema of Luroth Digits and a zeta function limit relation
Jayadev S. Athreya, Krishna B. Athreya
We describe how certain properties of the extrema of the digits of Luroth expansions lead to a probabilistic proof of a limiting relation involving the Riemann zeta function and th…
AR(1) sequence with random coefficients: Regenerative properties and its application
Krishna B. Athreya, Koushik Saha, Radhendushka Srivastava
Let be a sequence of real valued random variables such that , where are i.i.d. and independent of initi…
Local times in a Brownian excursion
Krishna B. Athreya, Raoul Normand, Vivekananda Roy +1
Let be a standard Brownian motion in . Let be the first return time to 0 after hitting 1, and be the local time…
T. E. Harris and branching processes
K. B. Athreya, P. E. Ney
T. E. Harris was a pioneer par excellence in many fields of probability theory. In this paper, we give a brief survey of the many fundamental contributions of Harris to the theory…
Continuity of Translation Operators
Krishna B. Athreya, Justin R. Peters
For a Radon measure on we show that is invariant under the group of translation operators $T_t(f)(x) = {$f(x-t)$}\ (t \in \bbR)$ if and only if is e…
Critical Age Dependent Branching Markov Processes and Their Scaling Limits
Krishna Athreya, Siva Athreya, Srikanth Iyer
This paper studies: (i) the long time behaviour of the empirical distribution of age and normalised position of an age dependent critical branching Markov process conditioned on no…