Results 1  10
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8,700
Resonances for nonanalytic potentials
, 2008
"... We consider semiclassical Schrödinger operators on R n, with C ∞ potentials decaying polynomially at infinity. The usual theories of resonances do not apply in such a nonanalytic framework. Here, under some additional conditions, we show that resonances are invariantly defined up to any power of the ..."
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We consider semiclassical Schrödinger operators on R n, with C ∞ potentials decaying polynomially at infinity. The usual theories of resonances do not apply in such a nonanalytic framework. Here, under some additional conditions, we show that resonances are invariantly defined up to any power
394 Analytic and Nonanalytic Proofs
"... O. Abstract]n automated theorem In'oving different kinds of proof systems have been used. Traditional proof systems, such as Iiill)ertstyle proofs or natural deduction we call nonanalytic, while resolution or mating proof sysi.ems we call analytic. There are many good reasons to study the con ..."
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O. Abstract]n automated theorem In'oving different kinds of proof systems have been used. Traditional proof systems, such as Iiill)ertstyle proofs or natural deduction we call nonanalytic, while resolution or mating proof sysi.ems we call analytic. There are many good reasons to study
Feature Representations and Analytic/Nonanalytic Processing
"... original formulation of instance theory embedded the notion of an instance within the larger conception of a distinction between analytic and nonanalytic processing. Brooks has recently argued that features can be represented either in terms of their specific feature appearance, or in terms of the ..."
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original formulation of instance theory embedded the notion of an instance within the larger conception of a distinction between analytic and nonanalytic processing. Brooks has recently argued that features can be represented either in terms of their specific feature appearance, or in terms
Nonanalyticity in the large N renormalization group
, 1992
"... The flow of the action induced by changing N is computed in large N matrix models. It is shown that the change in the action is nonanalytic. This nonanalyticity appears at the origin of the space of matrices if the action is even. ..."
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The flow of the action induced by changing N is computed in large N matrix models. It is shown that the change in the action is nonanalytic. This nonanalyticity appears at the origin of the space of matrices if the action is even.
Some classes of nonanalytic Markov semigroups
, 2004
"... We deal with Markov semigroups Tt corresponding to second order elliptic operators Au = ∆u +〈Du,F 〉, where F is an unbounded locally Lipschitz vector field on RN. We obtain new conditions on F under which Tt is not analytic in Cb(R N). In particular, we prove that the onedimensional operator Au = u ..."
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Cited by 4 (1 self)
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= u′′−x3u′, with domain {u ∈ C2(R): u, u′ ′ − x3u ′ ∈ Cb(R)}, is not sectorial in Cb(R). Under suitable hypotheses on the growth of F, we introduce a class of nonanalytic Markov semigroups in Lp(RN, µ), where µ is an invariant measure for Tt.
NONANALYTICITIES IN THREEDIMENSIONAL GAUGE THEORIES
"... Quantum fluctuations generate in threedimensional gauge theories not only radiative corrections to the Chern–Simons coupling but also nonanalytic terms in the effective action. We review the role of those terms in gauge theories with massless fermions and Chern–Simons theories. The explicit form o ..."
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Cited by 1 (1 self)
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Quantum fluctuations generate in threedimensional gauge theories not only radiative corrections to the Chern–Simons coupling but also nonanalytic terms in the effective action. We review the role of those terms in gauge theories with massless fermions and Chern–Simons theories. The explicit form
ON THE NONANALYTICITY LOCUS OF AN ARCANALYTIC FUNCTION
, 903
"... Abstract. A function is called arcanalytic if it is real analytic on each real analytic arc. In real analytic geometry there are many examples of arcanalytic functions that are not real analytic. Arc analytic functions appear while studying the arcsymmetric sets and the blowanalytic equivalence. ..."
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. In this paper we show that the nonanalyticity locus of an arcanalytic function is arcsymmetric. We discuss also the behavior of the nonanalyticity locus under blowingsup. By a result of Bierstone and Milman a big class of arcanalytic function, namely those that satisfy a polynomial equation with real
Nonlinear Discrete Systems With Nonanalytic Dispersion Relations
, 1995
"... A discrete system of coupled waves (with nonanalytic dispersion relation) is derived in the context of the spectral transform theory for the Ablowitz Ladik spectral problem (discrete version of the Zakharov Shabat system). This 3wave evolution problem is a discrete version of the stimulated Raman s ..."
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Cited by 2 (1 self)
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A discrete system of coupled waves (with nonanalytic dispersion relation) is derived in the context of the spectral transform theory for the Ablowitz Ladik spectral problem (discrete version of the Zakharov Shabat system). This 3wave evolution problem is a discrete version of the stimulated Raman
Nonanalytical equation of state of the hard sphere fluid
, 2005
"... A model based on classical nucleation theory is proposed to describe phase behavior in stable and metastable regions near a firstorder phase transition. The resulting equation of state is not an analytical function at the phase transition point. The model is tested on the hard sphere fluid where it ..."
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it is combined with the virial expansion at low densities. This nonanalytical equation of state is able to capture the observed ‘‘anomalous increase’ ’ of pressure at high densities. Consequences to description of phase equilibria by classical equations of state are discussed. 1.
Nonanalyticity and the van der Waals limit
 J. Stat. Phys
"... We study the analyticity properties of the free energy fγ(m) of the Kac model at points of first order phase transition, in the van der Waals limit γ ↘ 0. We show that there exists an inverse temperature β0 and γ0> 0 such that for all β ≥ β0 and for all γ ∈ (0, γ0), fγ(m) has no analytic continua ..."
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Cited by 3 (0 self)
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We study the analyticity properties of the free energy fγ(m) of the Kac model at points of first order phase transition, in the van der Waals limit γ ↘ 0. We show that there exists an inverse temperature β0 and γ0> 0 such that for all β ≥ β0 and for all γ ∈ (0, γ0), fγ(m) has no analytic continuation along the path m ↘ m ∗ (m ∗ denotes spontaneous magnetization). The proof consists in studying high order derivatives of the pressure
Results 1  10
of
8,700