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42
Interpolated inequalities between exponential and Gaussian, Orlicz hypercontractivity and isoperimetry
, 2004
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Risk communication
 Proceedings of the national conference on risk communication, Conservation Foundation,Washington, DC
, 1987
"... We consider Schrodinger semigroups e. IH, H =A+V on Iw ” with VcIxl ’ as 1x1rco, O<c<[(l/2)(n2)] * with H>O. We determine the exact power law divergence of I~e‘Hi~p,p and of some IIe‘Hlly,p as maps from Lp to Lq. The results are expressed most naturally in terms of the power a fo ..."
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Cited by 49 (2 self)
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We consider Schrodinger semigroups e. IH, H =A+V on Iw ” with VcIxl ’ as 1x1rco, O<c<[(l/2)(n2)] * with H>O. We determine the exact power law divergence of I~e‘Hi~p,p and of some IIe‘Hlly,p as maps from Lp to Lq. The results are expressed most naturally in terms of the power a for which there exists a positive resonance 9 such that Hq = 0, q(x) 1.x‘.:Ta 1991 Academic Press, Inc. 1.
Some applications of hypercontractive inequalities in quantum information
, 2012
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Functional inequalities for Markov semigroups
 PROBABILITY MEASURES ON GROUPS, MUMBAI: INDE
, 2004
"... In these notes, we describe some of the most interesting inequalities related to Markov semigroups, namely spectral gap inequalities, Logarithmic Sobolev inequalities and Sobolev inequalities. We show different aspects of their meanings and ..."
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Cited by 15 (3 self)
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In these notes, we describe some of the most interesting inequalities related to Markov semigroups, namely spectral gap inequalities, Logarithmic Sobolev inequalities and Sobolev inequalities. We show different aspects of their meanings and
On the spectral analysis of quantum electrodynamics with spatial cutoffs
 I., J. Math. Phys
, 2009
"... Abstract. In this paper, we consider the spectrum of a model in quantum electrodynamics with a spatial cutoff. It is proven that (1) the Hamiltonian is selfadjoint; (2) under the infrared regularity condition, the Hamiltonian has a unique ground state for sufficiently small values of coupling const ..."
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Cited by 12 (3 self)
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Abstract. In this paper, we consider the spectrum of a model in quantum electrodynamics with a spatial cutoff. It is proven that (1) the Hamiltonian is selfadjoint; (2) under the infrared regularity condition, the Hamiltonian has a unique ground state for sufficiently small values of coupling constants. The spectral scattering theory is studied as well and it is shown that asymptotic fields exist and the spectral gap is closed. 1
Semiclassical limit of the lowest eigenvalue of a Schrödinger operator on a Wiener space
 J. Funct. Anal
, 2003
"... We study a semiclassical limit of the lowest eigenvalue of a Schrödinger operator on a Wiener space. The Schrödinger operator is a perturbation of the second quantization operator of an unbounded selfadjoint operator by a C3potential function. This result is an extension of [1]. 1 ..."
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Cited by 11 (8 self)
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We study a semiclassical limit of the lowest eigenvalue of a Schrödinger operator on a Wiener space. The Schrödinger operator is a perturbation of the second quantization operator of an unbounded selfadjoint operator by a C3potential function. This result is an extension of [1]. 1
An estimate of the gap of spectrum of Schrödinger operators which generate hyperbounded semigroup
, 2001
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Nelson's symmetry and the infinite volume behavior of the vacuum in P($)z
 Comm. Math. Phys
, 1972
"... theory with sharp space cutoff in the ..."
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