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Page 12 of Mathematical Reviews Vol. , Issue 92c
[page]

1992
*
Mathematical Reviews
*

Wolfe (Rio Grande, OH)
92c:11148 11T30 12E20 Lempel, Abraham (IL-TECH); Seroussi, Gadiel (1-HPL)

*Explicit**formulas**for**self*-*complementary**normal**bases**in**certain**finite**fields*. IEEE Trans. Inform. ... The authors give*explicit**formulas**for**self*-*complementary**normal**bases*(of p elements)*for*GF(q’), where p = char(GF(q)). They ...##
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Page 6270 of Mathematical Reviews Vol. , Issue 96j
[page]

1996
*
Mathematical Reviews
*

Recurrence

*formulae*furnish*explicit*expressions*for*the higher order moment tensors. ... The imposed macroscopic orthotropy enables us to derive*explicit*and*self*-consistent expressions*for*the second moment tensors. ...##
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Langlands' Conjecture on Plancherel Measures for p-Adic Groups
[chapter]

1991
*
Harmonic Analysis on Reductive Groups
*

A

doi:10.1007/978-1-4612-0455-8_14
fatcat:v3436cq3hfbzxjhc6vpp3pjqbm
*formula**in*terms of*certain*Rankin-Selberg L-functions*for*GL(n) [13]*for*these measures has been*in*print [32] since 1984. ... The paper concludes with*explicit**formulas**for*the Plancherel measures*for*GL(n) and SL(n), p resented*in*Proposition 7.1 and Corollary 7.2, respectively. ...##
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Nonperturbative gravity corrections to bulk reconstruction
[article]

2021
*
arXiv
*
pre-print

We introduce a new algebraic framework

arXiv:2112.12789v1
fatcat:yykv6b3q3jf3lfyhr5bihiqr3m
*for*understanding nonperturbative gravitational aspects of bulk reconstruction with a*finite*or infinite-dimensional boundary Hilbert space. ... We explicitly demonstrate that local operators*in*the reconstruction wedge of a given boundary region can be recovered*in*a state-independent way*for*arbitrarily large code subspaces, up to nonperturbative ... E.G. would like to thank Matilde Marcolli*for*her guidance and constant support. ...##
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Differential invariant algebras of Lie pseudo-groups

2009
*
Advances in Mathematics
*

, a complete system of recurrence relations

doi:10.1016/j.aim.2009.06.016
fatcat:f34fzk2bk5gv7n4ubbba5xpjeu
*for*the differentiated invariants, and a*finite*system of generating differential syzygies among the generating differential invariants. ... Under the assumption of local freeness of a suitably high order prolongation of the pseudo-group action, we develop computational algorithms*for*locating a*finite*generating set of differential invariants ... We also thank the referee*for*helpful comments. ...##
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PerturbativeS-matrix for massive scalar fields in global de Sitter space

2013
*
Classical and quantum gravity
*

*In*particular, even very light

*fields*(

*in*the

*complementary*series of de Sitter representations) are not protected from tree-level decays. ... We construct a perturbative S-matrix

*for*interacting massive scalar

*fields*

*in*global de Sitter space. ... He also thanks the University of Colorado, Boulder,

*for*its hospitality during the final stages of this work. MS was supported

*in*part by the National Science Foundation under Grant No PHY07-57035. ...

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Gluino zero-modes for calorons at finite temperature

2008
*
Physics Letters B
*

We study the solutions of the Dirac equation

doi:10.1016/j.physletb.2008.08.071
fatcat:463xr63sifanfavnheom6535wi
*in*the adjoint representation(gluinos)*in*the background*field*of SU(2) unit charge calorons. ... Our solutions are forced to be antiperiodic*in*thermal time and would occur naturally*in*a semiclassical approach to N=1 Super-symmetric Yang-Mills theory at*finite*temperature. ... Acknowledgements We would like to thank Falk Bruckmann*for*discussions at the initial stages of this work. We acknowledge financial support from ...##
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Full counting statistics of Kondo-type tunneling in a quantum dot: Fluctuation effects of the slave-boson field

2011
*
Physical Review B
*

B 73, 195301 (2006)], we obtain the counting

doi:10.1103/physrevb.84.235408
fatcat:ptaqgqyfeffifb6ohmgyof7hbm
*field*λ-dependent*self*-consistent equations*for*the mean values of the slave-boson*fields*and the*explicit*expression*for*the derivative of the adiabatic potential ... We study the full counting statistics (FCS) of electron tunneling through a multi-terminal quantum dot*in*the Kondo regime within the slave-boson mean*field*theory. By employing the A.O. ... of the leads), as done*in*the Meir-Wingreen current*formula*, 41 except*for*the presence of the counting*field*. ...##
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Direct Perturbation Theory on the Electron Spin Resonance Shift and Its Applications

2005
*
Journal of the Physical Society of Japan
*

It is applied to one-dimensional XXZ and transverse Ising models

doi:10.1143/jpsj.74.283
fatcat:coa4oses2zgtflbvecrnasswzy
*in*the high*field*limit, to obtain*explicit*results including the polarization dependence*for*arbitrary temperature. ... We formulate a direct and systematic perturbation theory on the shift of the main paramagnetic peak*in*Electron Spin Resonance, and derive a general expression up to second order. ...*For*S = 1/2 chain at low temperature, a*field*theory approach*based*on bosonization technique is developed [2, 3] . ...##
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Stiffness of ODEs

1993
*
BIT Numerical Mathematics
*

It is argued that even

doi:10.1007/bf01989751
fatcat:4uyn2wveyre3fmlyitwud3hpfu
*for*a linear system of ODEs with constant coefficients, stiffness cannot properly be characterized*in*terms of the eigenvalues of the Jacobian, because stiffness is a transient phenomenon ... Recent theory from the numerical solution of PDEs is adapted to show that a more appropriate characterization can be*based*upon pseudospectra instead of spectra. ...*In*particular, we thank Hans Kraaijevanger*for*offering detailed comments on this manuscript. ...##
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Finite Information Numbers through the Inductive Combinatorial Hierarchy
[article]

2018
*
arXiv
*
pre-print

*In*the course, we provide a decomposition of binary entropies

*in*a pair of fractal sequences as functional composites of binary digit-sum functions and we construct a unique

*formula*and an abstract partition ... We also prove,

*based*on a previously introduced tool of the inductive combinatorial hierarchies that the naturally inherited

*self*-similarity of the resulting hierarchy of entropic sets contains equivalence ...

*Self*similarity

*in*the entropic hierarchy The hierarchical method of global maps is a "holistic" approach to

*certain*computable properties and their asymptotic behavior

*for*as long as it makes possible ...

##
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The Black-Scholes pricing formula in the quantum context

1998
*
Proceedings of the National Academy of Sciences of the United States of America
*

A natural explanation

doi:10.1073/pnas.95.7.4072
pmid:9520495
pmcid:PMC19965
fatcat:tsurbujox5abfpo5plyivpo26e
*for*extreme irregularities*in*the evolution of prices*in*financial markets is provided by quantum effects. ... This provides a basis*for*a corresponding generalization of the Ito theory of stochastic integration. An extension of the Black-Scholes option pricing*formula*to the quantum context is deduced. ... The Feynman-Kac*formula**in*the noncommutative form*based*on ref. 19 is then applicable by the same argument as*in*the classical case (20) . ...##
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Resolutions of discriminants and topology of their complements
[chapter]

2001
*
New Developments in Singularity Theory
*

We describe the main construction of such classes (

doi:10.1007/978-94-010-0834-1_4
fatcat:pi5cthiopjd37ish6gttf74goa
*based*on the conical resolutions of discriminants) and list the results*for*a number of examples. ... We study topological invariants of spaces of nonsingular geometrical objects (such as knots, operators, functions, varieties) defined by the linking numbers with appropriate cycles*in*the*complementary*...*Explicit**formulas*. ...##
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Abstracts of papers

1938
*
Bulletin of the American Mathematical Society
*

*In*the revised list thus obtained, the three special elements Z, Z', Z* appear only by inference, no

*explicit*mention of them

*in*the postulates being required. (Received June 25, 1938.) N. H. ... , after Lewis,

*in*terms of the

*base*K t T, X, ', =, the definition a~3b: -:ab'^Z may be replaced by the simpler form a~3 b : =» :ab=a provided the theorem a~3b. = .b f~3 a' is added to the list of postulates ... An

*explicit*

*formula*

*in*terms of 0-functions and abelian integrals is given

*for*the Green's function of a general Riemann surface R, with any

*finite*number of boundaries and of any

*finite*genus. ...

##
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Wavelets and Renormalization Group in Quantum Field Theory Problems

2018
*
Physics of Atomic Nuclei
*

Using continuous wavelet transform it is possible to construct a regularization procedure

doi:10.1134/s1063778818060029
fatcat:p344tfjvgzhmpa27glsicrio5m
*for*scale-dependent quantum*field*theory models, which is*complementary*to functional renormalization group method ... The standard RG results*for*ϕ^4 model are reproduced. The fixed points of the scale-dependent theory are studied*in*one loop approximation. ... However the theory*based*on the Fourier transform, such as quantum*field*theory is, have no*explicit*tools to regard the*self*-similarity*in*a fair way. ...
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