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    AuthorFyodorov, YV (4)Ruzhansky, M (4)Khoruzhenko, BA (2)Yessirkegenov, N (2)Arous, GB (1)Bianconi, G (1)Cunden, FD (1)Harrell, EM (1)Levi, M (1)Maltsev, A (1)... View MoreSubject
    math-ph (13)
    math.MP (13)cond-mat.stat-mech (4)cond-mat.dis-nn (3)math.AP (3)math.FA (3)math.SP (3)gr-qc (2)nlin.AO (2)nlin.CD (2)... View MoreDate Issued2021 (2)2018 (1)2017 (1)2016 (1)
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    On the distribution of maximum value of the characteristic polynomial of GUE random matrices 

    Fyodorov, YV; Simm, NJ
    Motivated by recently discovered relations between logarithmically correlated Gaussian processes and characteristic polynomials of large random $N \times N$ matrices $H$ from the Gaussian Unitary Ensemble (GUE), we consider ...
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    Nonlinear Analogue of the May-Wigner Instability Transition 

    Fyodorov, YV; Khoruzhenko, BA (PNAS, 2016-01)
    We study a system of $N\gg 1$ degrees of freedom coupled via a smooth homogeneous Gaussian vector field with both gradient and divergence-free components. In the absence of coupling, the system is exponentially relaxing ...
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    Exact solution of pulled, directed vesicles with sticky walls in two dimensions 

    Owczarek, A; Prellberg, T
    We analyse a directed lattice vesicle model incorporating both the binding-unbinding transition and the vesicle inflation-deflation transition. From the exact solution we derive the phase diagram for this model and elucidate ...
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    Resonance width distribution in RMT: Weak coupling regime beyond Porter-Thomas 

    Fyodorov, YV; Savin, DV
    We employ the random matrix theory (RMT) framework to revisit the distribution of resonance widths in quantum chaotic systems weakly coupled to the continuum via a finite number M of open channels. In contrast to the ...
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    On Agmon metrics and exponential localization for quantum graphs 

    Harrell, EM; Maltsev, AV (Springer Verlag, 2018-03-28)
    We investigate the rate of decrease at infinity of eigenfunctions of quantum graphs by using Agmon's method to prove $L^2$ and $L^\infty$ bounds on the product of an eigenfunction with the exponential of a certain metric. ...
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    Fluctuations in the two-dimensional one-component plasma and associated fourth-order phase transition 

    Cunden, FD; Maltsev, A; Mezzadri, F
    We study the distribution of the mean radial displacement of charges of a 2D one-component plasma in the thermodynamic limit $N\to\infty$ at finite temperature $\beta>0$. We compute explicitly the large deviation functions ...
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    Critical Gagliardo-Nirenberg, Trudinger, Brezis-Gallouet-Wainger inequalities on graded groups and ground states 

    Ruzhansky, M; Yessirkegenov, N
    In this paper we investigate critical Gagliardo-Nirenberg, Trudinger-type and Brezis-Gallouet-Wainger inequalities associated with the positive Rockland operators on graded groups, which includes the cases of $\mathbb R^n$, ...
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    Hardy inequalities on metric measure spaces, II: The case $p>q$ 

    Ruzhansky, M; Verma, D
    In this note we continue giving the characterisation of weights for two-weight Hardy inequalities to hold on general metric measure spaces possessing polar decompositions. Since there may be no differentiable structure on ...
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    Counting equilibria of large complex systems by instability index 

    Arous, GB; Fyodorov, YV; Khoruzhenko, BA
    We consider a nonlinear autonomous system of $N\gg 1$ degrees of freedom randomly coupled by both relaxational ('gradient') and non-relaxational ('solenoidal') random interactions. We show that with increased interaction ...
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    Direct and Inverse problems for time-fractional pseudo-parabolic equations 

    Ruzhansky, M; Serikbaev, D; Tokmagambetov, N; Torebek, BT
    The purpose of this paper is to establish the solvability results to direct and inverse problems for time-fractional pseudo-parabolic equations with the self-adjoint operators. We are especially interested in proving ...
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