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Crystals, regularisation and the Mullineux map
(EMS Press, 2021)The Mullineux map is a combinatorial function on partitions which describes the effect of tensoring a simple module for the symmetric group in characteristic $p$ with the onedimensional sign representation. It can also ... 
Twisted loop transgression and higher Jandl gerbes over finite groupoids
(Mathematical Sciences Publishers, 2021) 
Presentations of Transversal Valuated Matroids
Given $d$ row vectors of $n$ tropical numbers, $d<n$, the tropical Stiefel map constructs a version of their row space, whose Pl\"ucker coordinates are tropical determinants. We explicitly describe the fibers of this map. ... 
Parameter Spaces of Locally Constant Cocycles
(Oxford University Press, 20210525)This article concerns the locus of locally constant SL(2,ℝ) valued cocycles that have a dominated splitting, called the hyperbolic locus. By developing the theory of Möbius semigroups we show that cocycles on the boundary ... 
Counting equilibria of large complex systems by instability index
We consider a nonlinear autonomous system of $N\gg 1$ degrees of freedom randomly coupled by both relaxational ('gradient') and nonrelaxational ('solenoidal') random interactions. We show that with increased interaction ... 
Diffusion approximations in the online increasing subsequence problem
(Elsevier BV, 202109)The online increasing subsequence problem is a stochastic optimisation task with the objective to maximise the expected length of subsequence chosen from a random series by means of a nonanticipating decision strategy. We ... 
A conformal approach to the stability of Einstein spaces with spatial sections of negative scalar curvature
(IOP Publishing, 20210617)It is shown how the extended conformal Einstein field equations and a gauge based on the properties of conformal geodesics can be used to analyse the nonlinear stability of Einstein spaces with negative scalar curvature. ... 
Van der Corput lemmas for MittagLeffler functions. II. $α$directions
(Elsevier, 202106)The paper is devoted to study analogues of the van der Corput lemmas involving MittagLeffler functions. The generalisation is that we replace the exponential function with the MittagLefflertype function, to study ... 
Some properties relating to the MittagLeffler function of two variables
(Taylor & Francis, 20210611)An attempt is made here to study the Mittag–Leffler function with two variables. Its various properties including integral and operational relationships with other known Mittag–Leffler functions of one variable, pure and ... 
Bregman Methods for LargeScale Optimisation with Applications in Imaging
(Springer, 20210527)In this chapter we review recent developments in the research of Bregman methods, with particular focus on their potential use for largescale applications. We give an overview on several families of Bregman algorithms and ... 
Counting weighted independent sets beyond the permanent
(Society for Industrial and Applied Mathematics, 202106)Jerrum, Sinclair, and Vigoda [J. ACM, 51 (2004), pp. 671697] showed that the permanent of any square matrix can be estimated in polynomial time. This computation can be viewed as approximating the partition function of ... 
Search efficiency of discrete fractional Brownian motion in a random distribution of targets
(American Physical Society (APS), 202104)Efficiency of search for randomly distributed targets is a prominent problem in many branches of the sciences. For the stochastic process of Lévy walks, a specific range of optimal efficiencies was suggested under variation ... 
A converse statement to Hutchinson's theorem and a dimension gap for selfaffine measures
A wellknown theorem of J.E. Hutchinson states that if an iterated function system consists of similarity transformations and satisfies the open set condition then its attractor supports a selfsimilar measure with Hausdorff ... 
Schattenvon Neumann classes of integral operators
(Elsevier, 2021)In this work we establish sharp kernel conditions ensuring that the corresponding integral operators belong to Schattenvon Neumann classes. The conditions are given in terms of the spectral properties of operators acting ... 
Explicit solutions for linear variable–coefficient fractional differential equations with respect to functions
(Elsevier, 20210315)Explicit solutions of differential equations of complex fractional orders with respect to functions and with continuous variable coefficients are established. The representations of solutions are given in terms of some ... 
Fractional KleinGordon equation with singular mass
(Elsevier, 202012)We consider a spacefractional wave equation with a singular mass term depending on the position and prove that it is very weak wellposed. The uniqueness is proved in some appropriate sense. Moreover, we prove the consistency ... 
Beyond pairwise network similarity: exploring Mediation and Suppression between networks
(2021)Network similarity measures quantify how and when two networks are symmetrically related, including measures of statistical association such as pairwise distance or other correlation measures between networks or between ... 
Arrow of time across five centuries of classical music
(American Physical Society, 20200729)The concept of time series irreversibility—the degree by which the statistics of signals are not invariant under time reversal—naturally appears in nonequilibrium physics in stationary systems which operate away from ... 
A populationbased controlled experiment assessing the epidemiological impact of digital contact tracing
(Nature Publishing Group, 20210126)While Digital contact tracing (DCT) has been argued to be a valuable complement to manual tracing in the containment of COVID19, no empirical evidence of its effectiveness is available to date. Here, we report the results ...