Invariance principles for random walks in cones

On local and ratio limit theorems

Stone, C · 1967

Earlier work this paper cites.

Convergence of probability measures

Billingsley, P · 1968

Earlier work this paper cites.

Notes on inequalities for sums of independent random variables

Borovkov, A.A · 1972

Earlier work this paper cites.

On a functional central limit theorem for random walks conditioned to stay positive

Bolthausen, E · 1976

Earlier work this paper cites.

Principles of random walk

Spitzer, F · 1976

Earlier work this paper cites.

Conditional limit theorems for asymptotically stable random walks

Doney R.A · 1985

Earlier work this paper cites.

A limit theorem for two-dimensional random walk conditioned to stay in a cone

Shimura, M · 1991

Earlier work this paper cites.

Brownian motion in cones

Banuelos, R. and Smits, R.G · 1997

Cited alongside, same era.

Excursion normalisée, méandre et pont pour les processus de Lévy stables

Chaumont, L · 1997

Cited alongside, same era.

Brownian motion in a Weyl chamber, non-colliding particles, and random matrices

Grabiner, D.J · 1999

Cited alongside, same era.

A functional limit theorem for random walk conditioned to stay non-negative

Bryn-Jones, A. and Doney, R.A · 2006

Cited alongside, same era.

Invariance principles for random walks conditioned to stay positive

Caravenna, F. and Chaumont, L · 2008

Cited alongside, same era.

Brownian motion conditioned to stay in a cone

Garbit, R · 2009

Cited alongside, same era.

An invariance principle for random walk bridges conditioned to stay positive

Caravenna, F. and Chaumont, L · 2010

Later among the works it cites.

Conditional limit theorems for ordered random walks

Denisov, D. and Wachtel, V · 2010

Later among the works it cites.

A central limit theorem for two-dimensional random walks in a cone

Garbit, R · 2011

Later among the works it cites.

The height of watermelons with wall

Feierl, T · 2012

Later among the works it cites.

The height and range of watermelons without wall

Feierl, T · 2013

Later among the works it cites.

Random walks in cones

Denisov, D. and Wachtel, V · 2015

Closest in time.