On the range of random walk

1968/10/01 by N. Jain, Nishesh Jain, S. Orey +1 · 13 citations
Decision Sciences · Mathematics · #Cardinality (data modeling) #Combinatorics #Discrete mathematics #Distribution (mathematics) #Independent and identically distributed random variables #Integer (computer science) #Lattice (music) #Mathematical Approximation and Integration #Mathematical analysis #Mathematics #Physics #Probability and Risk Models #Random variable #Random walk #Statistics #Stochastic processes and statistical mechanics

paper · doi:10.1007/bf02771217

openalex publication_date 1968/10/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Cited by

• Moderate deviations for the range of a transient random walk. II
• Asymptotics for the percolation threshold of finitary random interlacements in four and higher dimensions
• Functional Limit Theorems for the range of stable random walks
• Capacity of the range of random walk on ℤ^d
• On the exact orders of critical value in Finitary Random Interlacements
• 1+O(1) asymptotics for loop percolation in five and higher dimensions
• Fluctuation results for size of the vacant set for random walks on discrete torus
• Capacity of the range of random walk: Moderate deviations in dimensions 4 and 5
• CLT for the capacity of the range of stable random walks
• Full distribution of the number of distinct sites visited by a random walker in dimension d ≥ 2
• How thin does random interlacement have to be so that a random walk can see through it?
• Two observations on the capacity of the range of simple random walks on ℤ³ and ℤ⁴
• Infinitely many collisions between a recurrent simple random walk and arbitrary many transient random walks in a subballistic random environment