120 citations
- Indian Institute of Science BangaloreIN7 papers
- S.N. Bose National Centre for Basic SciencesIN4 papers
- Saha Institute of Nuclear PhysicsIN3 papers
- Texas A&M UniversityUS3 papers
- Inter-University Centre for Astronomy and AstrophysicsIN2 papers
- Jadavpur UniversityIN2 papers
- The Abdus Salam International Centre for Theoretical Physics (ICTP)IT2 papers
- University of BonnDE2 papers
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8 papers · 1 filter
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…