24 citations
- Indian Institute of Science BangaloreIN1 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
10 papers
Equivalence of quotient Hilbert modules -- II
Ronald G. Douglas, Gadadhar Misra
For any open, connected and bounded set , let be a natural function algebra consisting of functions holomorphic on . Let be a H…
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…
Minimal Cuntz-Krieger Dilations and Representations of Cuntz-Krieger Algebras
B. V. Rajarama Bhat, Santanu Dey, Joachim Zacharias
Given a contractive tuple of Hilbert space operators satisfying certain -relations we show that there exists a unique minimal dilation to generators of Cuntz-Krieger algebras or…
A homological interpretation of Jantzen's sum formula
Upendra Kulkarni
For a split reductive algebraic group, this paper observes a homological interpretation for Weyl module multiplicities in Jantzen's sum formula. This interpretation involves an Eul…
Hadamard type operations for qubits
Arpita Maitra, Preeti Parashar
We obtain the most general ensemble of qubits, for which it is possible to design a universal Hadamard gate. These states when geometrically represented on the Bloch sphere, give a…
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…