37 citations
- Indian Institute of Science BangaloreIN1 paper
- Indian Institute of Technology KanpurIN1 paper
- Institute of Mathematical SciencesIN1 paper
- RIKEN Center for Brain ScienceJP1 paper
- Texas A&M UniversityUS1 paper
- Universität GreifswaldDE1 paper
- University of British ColumbiaCA1 paper
- University of ConnecticutUS1 paper
- University of MumbaiIN1 paper
- University of NottinghamGB1 paper
- University of OregonUS1 paper
- Yokohama National UniversityJP1 paper
4 papers · 1 filter
Rigorous results on the threshold network model
Norio Konno, Naoki Masuda, Rahul Roy +1
We analyze the threshold network model in which a pair of vertices with random weights are connected by an edge when the summation of the weights exceeds a threshold. We prove some…
Infinite dimensional stochastic differential equations of Ornstein-Uhlenbeck type
Siva R. Athreya, Richard F. Bass, Maria Gordina +1
We consider the operator $$\sL f(x)=\tfrac12 \sum_{i,j=1}^\infty a_{ij}(x)\frac{\del^2 f}{\del x_i \del x_j}(x)-\sum_{i=1}^\infty \lam_i x_i b_i(x) \frac{\del f}{\del x_i}(x).$$ We…
Measure free martingales
Rajeeva L Karandikar, M G Nadkarni
We give a necessary and sufficient condition on a sequence of functions on a set under which there is a measure on which renders the given sequence of functions a martingal…
Convergence of functionals of sums of r.v.s to local times of fractional stable motions
P. Jeganathan
Consider a sequence X_k=\sum_{j=0}^{\infty}c_jξ_{k-j}, k\geq 1, where c_j, j\geq 0, is a sequence of constants and ξ_j, -\infty <j<\infty, is a sequence of independent identically…