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1

Replica Symmetry Breaking Condition Exposed by Random Matrix Calculation of Landscape Complexity

Yan V. Fyodorov, Ian Williams

Journal:

Journal of Statistical Physics

Year:

2007

Language:

english

File:

PDF, 696 KB

english, 2007

2

Level-to-level fluctuations of the inverse participation ratio in finite quasi 1D disordered systems

Fyodorov, Yan, Mirlin, Alexander

Journal:

Physical Review Letters

Year:

1993

Language:

english

File:

PDF, 184 KB

english, 1993

3

Characteristic polynomials of random Hermitian matrices and Duistermaat–Heckman localisation on non-compact Kähler manifolds

Yan V. Fyodorov, Eugene Strahov

Journal:

Nuclear Physics B

Year:

2002

Language:

english

File:

PDF, 316 KB

english, 2002

4

Analytical derivation of the scaling law for the inverse participation ratio in quasi-one-dimensional disordered systems

Fyodorov, Yan V., Mirlin, Alexander D.

Journal:

Physical Review Letters

Year:

1992

Language:

english

File:

PDF, 232 KB

english, 1992

5

Statistical properties of random banded matrices with strongly fluctuating diagonal elements

Fyodorov, Yan V., Mirlin, Alexander D.

Journal:

Physical Review B

Year:

1995

Language:

english

File:

PDF, 168 KB

english, 1995

6

Scaling properties of localization in random band matrices: A σ-model approach

Fyodorov, Yan V., Mirlin, Alexander D.

Journal:

Physical Review Letters

Year:

1991

Language:

english

File:

PDF, 648 KB

english, 1991

7

Complexity of Random Energy Landscapes, Glass Transition, and Absolute Value of the Spectral Determinant of Random Matrices

Fyodorov, Yan V.

Journal:

Physical Review Letters

Year:

2004

Language:

english

File:

PDF, 101 KB

english, 2004

8

Analytical Derivation of the Scaling Law for the Inverse Participation Ratio in Quasi-One-Dimensional Disordered Systems

Fyodorov, Yan V., Mirlin, Alexander D.

Journal:

Physical Review Letters

Year:

1992

Language:

english

File:

PDF, 107 KB

english, 1992

9

Mesoscopic fluctuations of eigenfunctions and level-velocity distribution in disordered metals

Fyodorov, Yan V., Mirlin, Alexander D.

Journal:

Physical Review B

Year:

1995

Language:

english

File:

PDF, 443 KB

english, 1995

10

Random matrices close to Hermitian or unitary: overview of methods and results

Fyodorov, Yan V, Sommers, H-J

Journal:

Journal of Physics A: Mathematical and General Physics

Year:

2003

Language:

english

File:

PDF, 515 KB

english, 2003

11

Multifractality and freezing phenomena in random energy landscapes: An introduction

Yan V. Fyodorov

Journal:

Physica A: Statistical Mechanics and its Applications

Year:

2010

Language:

english

File:

PDF, 1.22 MB

english, 2010

12

Almost-Hermitian random matrices: eigenvalue density in the complex plane

Yan V Fyodorov, Boris A Khoruzhenko, Hans-Jürgen Sommers

Journal:

Physics Letters A

Year:

1997

Language:

english

File:

PDF, 601 KB

english, 1997

13

Long-ranged model of random RL-C network

Yan V. Fyodorov

Journal:

Physica E: Low-dimensional Systems and Nanostructures

Year:

2001

Language:

english

File:

PDF, 99 KB

english, 2001

14

Universal Results for Correlations of Characteristic Polynomials: Riemann-Hilbert Approach

Eugene Strahov, Yan V. Fyodorov

Journal:

Communications in Mathematical Physics

Year:

2003

Language:

english

File:

PDF, 366 KB

english, 2003

15

On Absolute Moments of Characteristic Polynomials of a Certain Class of Complex Random Matrices

Yan. V. Fyodorov, Boris. A. Khoruzhenko

Journal:

Communications in Mathematical Physics

Year:

2007

Language:

english

File:

PDF, 359 KB

english, 2007

16

Universality of “level curvature” distribution for large random matrices: systematic analytical approaches

Yan V. Fyodorov, Hans-Jürgen Sommers

Journal:

Zeitschrift für Physik B Condensed Matter

Year:

1995-1996

Language:

english

File:

PDF, 1.15 MB

english, 1995-1996

17

Fluctuations in randomRL-Cnetworks: Nonlinear σ-model description

Yan V. Fyodorov

Journal:

Year:

1999

Language:

english

File:

PDF, 73 KB

english, 1999

18

Freezing Transition, Characteristic Polynomials of Random Matrices, and the Riemann Zeta Function

Fyodorov, Yan, Hiary, Ghaith, Keating, Jonathan

Journal:

Physical Review Letters

Year:

2012

Language:

english

File:

PDF, 161 KB

english, 2012

19

Statistics of resonance poles, phase shifts and time delays in quantum chaotic scattering: Random matrix approach for systems with broken time-reversal invariance

Fyodorov, Yan V., Sommers, Hans-Jürgen

Journal:

Journal of Mathematical Physics

Year:

1997

Language:

english

File:

PDF, 1.12 MB

english, 1997

20

Localization transition in the Anderson model on the Bethe lattice: Spontaneous symmetry breaking and correlation functions

Alexander D. Mirlin, Yan V. Fyodorov

Journal:

Nuclear Physics B

Year:

1991

Language:

english

File:

PDF, 1.20 MB

english, 1991

21

Classical particle in a box with random potential: Exploiting rotational symmetry of replicated Hamiltonian

Yan V. Fyodorov, H.-J. Sommers

Journal:

Nuclear Physics B

Year:

2007

Language:

english

File:

PDF, 421 KB

english, 2007

22

Negative moments of characteristic polynomials of random matrices: Ingham–Siegel integral as an alternative to Hubbard–Stratonovich transformation

Yan V. Fyodorov

Journal:

Nuclear Physics B

Year:

2002

Language:

english

File:

PDF, 267 KB

english, 2002

23

On correlation functions of characteristic polynomials for chiral Gaussian unitary ensemble

Yan V. Fyodorov, Eugene Strahov

Journal:

Nuclear Physics B

Year:

2002

Language:

english

File:

PDF, 157 KB

english, 2002

24

Spectral properties of random reactance networks and random matrix pencils

Fyodorov, Yan V

Journal:

Journal of Physics A: Mathematical and General Physics

Year:

1999

Language:

english

File:

PDF, 242 KB

english, 1999

25

Random symmetric matrices with a constraint: The spectral density of random impedance networks

Stäring, J., Mehlig, B., Fyodorov, Yan V., Luck, J. M.

Journal:

Physical Review E

Year:

2003

Language:

english

File:

PDF, 63 KB

english, 2003

26

Counting Function Fluctuations and Extreme Value Threshold in Multifractal Patterns: The Case Study of an Ideal 1/fNoise

Fyodorov, Yan V., Doussal, Pierre, Rosso, Alberto

Journal:

Journal of Statistical Physics

Year:

2012

Language:

english

File:

PDF, 855 KB

english, 2012

27

Topology Trivialization and Large Deviations for the Minimum in the Simplest Random Optimization

Fyodorov, Yan V., Doussal, Pierre

Journal:

Journal of Statistical Physics

Year:

2014

Language:

english

File:

PDF, 868 KB

english, 2014

28

Spectral Autocorrelation Function in Weakly Open Chaotic Systems: Indirect Photodissociation of Molecules ‖

Alhassid, Y., Fyodorov, Yan V.

Journal:

Journal of Physical Chemistry A

Year:

1998

Language:

english

File:

PDF, 52 KB

english, 1998

29

Almost Hermitian Random Matrices: Crossover from Wigner-Dyson to Ginibre Eigenvalue Statistics

Fyodorov, Yan V., Khoruzhenko, Boris A., Sommers, Hans-Jürgen

Journal:

Physical Review Letters

Year:

1997

Language:

english

File:

PDF, 157 KB

english, 1997

30

Erratum: Complexity of Random Energy Landscapes, Glass Transition, and Absolute Value of Spectral Determinant of Random Matrices [Phys. Rev. Lett. 92 , 240601 (2004)]

Fyodorov, Yan V.

Journal:

Physical Review Letters

Year:

2004

File:

PDF, 29 KB

2004

31

Localization in ensemble of sparse random matrices

Fyodorov, Yan, Mirlin, Alexander

Journal:

Physical Review Letters

Year:

1991

Language:

english

File:

PDF, 747 KB

english, 1991

32

‘‘Level curvature’’ distribution for diffusive Aharonov-Bohm systems: Analytical results

Fyodorov, Yan V., Sommers, Hans-Jürgen

Journal:

Physical Review E

Year:

1995

File:

PDF, 790 KB

1995

33

Systematic Analytical Approach to Correlation Functions of Resonances in Quantum Chaotic Scattering

Fyodorov, Yan V., Khoruzhenko, Boris A.

Journal:

Physical Review Letters

Year:

1999

Language:

english

File:

PDF, 71 KB

english, 1999

34

Statistics of resonances and nonorthogonal eigenfunctions in a model for single-channel chaotic scattering

Fyodorov, Yan V., Mehlig, B.

Journal:

Physical Review E

Year:

2002

Language:

english

File:

PDF, 71 KB

english, 2002

35

Parametric correlations of phase shifts and statistics of time delays in quantum chaotic scattering: Crossover between unitary and orthogonal symmetries

Fyodorov, Yan V., Savin, Dmitry V., Sommers, Hans-Jürgen

Journal:

Physical Review E

Year:

1997

Language:

english

File:

PDF, 131 KB

english, 1997

36

Localization and fluctuations of local spectral density on treelike structures with large connectivity: Application to the quasiparticle line shape in quantum dots

Mirlin, Alexander D., Fyodorov, Yan V.

Journal:

Physical Review B

Year:

1997

Language:

english

File:

PDF, 230 KB

english, 1997

37

Critical Behavior of the Number of Minima of a Random Landscape at the Glass Transition Point and the Tracy-Widom Distribution

Fyodorov, Yan V., Nadal, Celine

Journal:

Physical Review Letters

Year:

2012

Language:

english

File:

PDF, 154 KB

english, 2012

38

Photodissociation in quantum chaotic systems: Random-matrix theory of cross-section fluctuations

Fyodorov, Yan V., Alhassid, Y.

Journal:

Physical Review A

Year:

1998

Language:

english

File:

PDF, 114 KB

english, 1998

39

Fano interference and cross-section fluctuations in molecular photodissociation

Alhassid, Y., Fyodorov, Yan V., Gorin, T., Ihra, W., Mehlig, B.

Journal:

Physical Review A

Year:

2006

Language:

english

File:

PDF, 278 KB

english, 2006

40

Strong eigenfunction correlations near the Anderson-localization transition

Fyodorov, Yan V., Mirlin, Alexander D.

Journal:

Physical Review B

Year:

1997

Language:

english

File:

PDF, 105 KB

english, 1997

41

Distribution of "Level Velocities" in Quasi-1D Disordered or Chaotic Systems with Localization

Fyodorov, Yan V.

Journal:

Physical Review Letters

Year:

1994

Language:

english

File:

PDF, 264 KB

english, 1994

42

Time-delay correlations and resonances in one-dimensional disordered systems

Titov, Mikhail, Fyodorov, Yan V.

Journal:

Physical Review B

Year:

2000

Language:

english

File:

PDF, 98 KB

english, 2000

43

Distribution of local densities of states, order parameter function, and critical behavior near the Anderson transition

Mirlin, Alexander D., Fyodorov, Yan V.

Journal:

Physical Review Letters

Year:

1994

Language:

english

File:

PDF, 373 KB

english, 1994

44

Parametric Correlations of Scattering Phase Shifts and Fluctuations of Delay Times in Few-Channel Chaotic Scattering

Fyodorov, Yan V., Sommers, Hans-Jürgen

Journal:

Physical Review Letters

Year:

1996

Language:

english

File:

PDF, 152 KB

english, 1996

45

On the largest singular values of random matrices with independent Cauchy entries

Soshnikov, Alexander, Fyodorov, Yan V.

Journal:

Journal of Mathematical Physics

Year:

2005

Language:

english

File:

PDF, 403 KB

english, 2005

46

Variance of transmitted power in multichannel dissipative ergodic structures invariant under time reversal

Rozhkov, Igor, Fyodorov, Yan V., Weaver, Richard L.

Journal:

Physical Review E

Year:

2004

Language:

english

File:

PDF, 114 KB

english, 2004

47

Distribution of the Local Density of States, Reflection Coefficient, and Wigner Delay Time in Absorbing Ergodic Systems at the Point of Chiral Symmetry

Fyodorov, Yan V., Ossipov, Alexander

Journal:

Physical Review Letters

Year:

2004

Language:

english

File:

PDF, 127 KB

english, 2004

48

Statistics of Resonance Width Shifts as a Signature of Eigenfunction Nonorthogonality

Fyodorov, Yan V., Savin, Dmitry V.

Journal:

Physical Review Letters

Year:

2012

Language:

english

File:

PDF, 185 KB

english, 2012

49

Reducing nonideal to ideal coupling in random matrix description of chaotic scattering: Application to the time-delay problem

Savin, Dmitry V., Fyodorov, Yan V., Sommers, Hans-Jürgen

Journal:

Physical Review E

Year:

2001

Language:

english

File:

PDF, 64 KB

english, 2001

50

Statistics of transmitted power in multichannel dissipative ergodic structures

Rozhkov, Igor, Fyodorov, Yan V., Weaver, Richard L.

Journal:

Physical Review E

Year:

2003

Language:

english

File:

PDF, 205 KB

english, 2003

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