Add to ORKGWe study a critical branching random walk on Z d. We focus on the tail of the time spent in a ball, and our study, in dimension four and higher, sheds new light on the recent result of Angel, Hutchcroft and Jarai [AHJ21], in particular on the special features of the critical dimension four. Finally, we analyse the number of walks transported by the branching random walk on the boundary of a distant ball. Keywords and phrases. Branching random walk; local times; range. MSC 2010 subject classifications. Primary 60G50; 60J80
We study branching random walks in random i.i.d. environment in $\Z^d, d \geq 1$. For this model, th...
We consider branching random walks in d-dimensional integer lattice with time-space i.i.d. offspring...
49 pages, 1 figureConsider the supercritical branching random walk on the real line in the boundary ...
We study a critical branching random walk on Z d. We focus on the tail of the time spent in a ball, ...
This thesis concerns critical branching random walks. We focus on supercritical (d ≥ 5 or higher) an...
41p.We consider branching random walks on the Euclidean lattice in dimensions five and higher. In th...
Consider a critical nearest-neighbor branching random walk on the d-dimensional integer lattice init...
Gantert and Müller (2006) proved that a critical branching random walk (BRW) on the integer lattice...
We study the range Rn of a random walk on the d-dimensional lattice Zd indexed by a random tree with...
Gantert and Müller (2006) proved that a critical branching random walk (BRW) on the integer lattice ...
Critical catalytic branching random walk on an integer lattice Zd is investigated for all d ∈ N. The...
Recent investigations have demonstrated that continuous-time branching random walks on multidimensio...
Characterizing the occupation statistics of random walks through confined geometries amounts to asse...
A critical branching random walk in a d-dimensional spatial random medium (environment) is considere...
We consider branching particle processes on discrete structures like the hypercube in a random fitne...
We study branching random walks in random i.i.d. environment in $\Z^d, d \geq 1$. For this model, th...
We consider branching random walks in d-dimensional integer lattice with time-space i.i.d. offspring...
49 pages, 1 figureConsider the supercritical branching random walk on the real line in the boundary ...
We study a critical branching random walk on Z d. We focus on the tail of the time spent in a ball, ...
This thesis concerns critical branching random walks. We focus on supercritical (d ≥ 5 or higher) an...
41p.We consider branching random walks on the Euclidean lattice in dimensions five and higher. In th...
Consider a critical nearest-neighbor branching random walk on the d-dimensional integer lattice init...
Gantert and Müller (2006) proved that a critical branching random walk (BRW) on the integer lattice...
We study the range Rn of a random walk on the d-dimensional lattice Zd indexed by a random tree with...
Gantert and Müller (2006) proved that a critical branching random walk (BRW) on the integer lattice ...
Critical catalytic branching random walk on an integer lattice Zd is investigated for all d ∈ N. The...
Recent investigations have demonstrated that continuous-time branching random walks on multidimensio...
Characterizing the occupation statistics of random walks through confined geometries amounts to asse...
A critical branching random walk in a d-dimensional spatial random medium (environment) is considere...
We consider branching particle processes on discrete structures like the hypercube in a random fitne...
We study branching random walks in random i.i.d. environment in $\Z^d, d \geq 1$. For this model, th...
We consider branching random walks in d-dimensional integer lattice with time-space i.i.d. offspring...
49 pages, 1 figureConsider the supercritical branching random walk on the real line in the boundary ...