Results 41 to 50 of about 3,314 (147)

SECOND QUANTIZATION AND THE Lp-SPECTRUM OF NONSYMMETRIC ORNSTEIN–UHLENBECK OPERATORS [PDF]

open access: yesInfinite Dimensional Analysis, Quantum Probability and Related Topics, 2005
The spectra of the second quantization and the symmetric second quantization of a strict Hilbert space contraction are computed explicitly and shown to coincide. As an application, we compute the spectrum of the nonsymmetric Ornstein–Uhlenbeck operator L associated with the infinite-dimensional Langevin equation [Formula: see text] where A is the ...
openaire   +1 more source

Hitting Probabilities for a Class of Gaussian Integrators via Second Quantization

open access: yesMathematics
In our paper, we consider Gaussian processes in the form of η(t)=∫01A(1[0,t])(s)dw(s),t∈[0,1], where {w(t);t∈[0,1]} is a standard Wiener process in Rd and A is a continuous linear operator on L2([0,1]) into itself. For the domain of D⊂Rd with a C1 smooth
Qingsong Wang   +1 more
doaj   +1 more source

Long-context inference optimization for large language models: a survey

open access: yes大数据
With the rapid development of large language model (LLM) technology, the demand for processing long-text inputs has been increasing. However, long-text inference faces challenges such as high memory consumption and latency.
TAO Wei   +3 more
doaj   +2 more sources

Limiting absorption principle for the second quantization of self-adjoint operators

open access: yesHokkaido Mathematical Journal, 2010
In this paper we discuss the limiting absorption principle (l.a.p.) of the second quantization of semi-bounded self-adjoint operators. We show that the l.a.p. for a self-adjoint operator on a basic Hilbert space $\mathcal{H}$ is ``inherited'' to the one for its second quantization on a Fock space $\mathcal{F}(\mathcal{H})$.
openaire   +2 more sources

On the spectra of fermionic second quantization operators

open access: yesOn the spectra of fermionic second quantization operators
We derive several formulae for the spectra of the second quantization operators in abstract fermionic Fock spaces.
openaire  

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