Mathematics
Recent Submissions

Evaluating resective surgery targets in epilepsy patients: a comparison of quantitative EEG methods.
(Elsevier, 20180518)BACKGROUND: Quantitative analysis of intracranial EEG is a promising tool to assist clinicians in the planning of resective brain surgery in patients suffering from pharmacoresistant epilepsies. Quantifying the accuracy ... 
Stable regimes for hard disks in a channel with twisting walls
(AIP Publishing, 20120620)We study a gas of N hard disks in a box with semiperiodic boundary conditions. The unperturbed gas is hyperbolic and ergodic (these facts are proved for N=2 and expected to be true for all N≥2). We study various perturbations ... 
Spatial structure of SinaiRuelleBowen measures
(Elsevier, 20140627)SinaiRuelleBowen measures are the only physically observable invariant measures for billiard dynamical systems under small perturbations. These measures are singular, but as it was observed, marginal distributions of ... 
Spatial structure of stationary nonequilibrium states in the thermostatted periodic Lorentz gas
(Springer Verlag, 20120224)We investigate analytically and numerically the spatial structure of the nonequilibrium stationary states (NESS) of a point particle moving in a two dimensional periodic Lorentz gas (Sinai Billiard). The particle is subject ... 
Averaging and rates of averaging for uniform families of deterministic fastslow skew product systems
(Polish Academy of Sciences, Institute of Mathematics, 20170412)We consider families of fastslow skew product maps of the form xn+1 = xn + ǫa(xn, yn, ǫ), yn+1 = Tǫyn, where Tǫ is a family of nonuniformly expanding maps, and prove averaging and rates of averaging for the slow variables ... 
Equidistribution for nonuniformly expanding dynamical systems, and application to the almost sure invariance principle
(Springer Verlag, 20171212)Let T: M→ M be a nonuniformly expanding dynamical system, such as logistic or intermittent map. Let v: M→ R d be an observable and vn=∑k=0n1v∘Tk denote the Birkhoff sums. Given a probability measure μ on M, we consider v ... 
Linear response for intermittent maps with summable and nonsummable decay of correlations
(IOP Publishing, 20160504)We consider a family of PomeauManneville type interval maps Tα, parametrized by α ∈ (0, 1), with the unique absolutely continuous invariant probability measures να, and rate of correlations decay n 1−1/α. We show that ... 
Martingalecoboundary decomposition for families of dynamical systems
(Elsevier, 20170908)We prove statistical limit laws for sequences of Birkhoff sums of the type ∑j=0n1vn(ring operator)Tnj where Tn is a family of nonuniformly hyperbolic transformations.The key ingredient is a new martingalecoboundary ... 
A generalized 2Ddynamical meanfield Ising model with a rich set of bifurcations (inspired and applied to financial crises)
(World Scientific Publishing, 20180507)We analyze an extended version of the dynamical meanfield Ising model. Instead of classical physical representation of spins and external magnetic field, the model describes traders' opinion dynamics. The external field ... 
Global radiative effects of solid fuel cookstove aerosol emissions
(European Geosciences Union, 20180418)We apply the NCAR CAM5Chem global aerosolclimate model to quantify the net global radiative effects of black and organic carbon aerosols from global and Indian solid fuel cookstove emissions for the year 2010. Our assessment ... 
Coupled oceanatmosphere modeling and predictions
(Sears Foundation for Marine Research, 20170501)Key aspects of the current state of the ability of global and regional climate models to represent dynamical processes and precipitation variations are summarized. Interannual, decadal, and globalwarming timescales, wherein ... 
Challenges and opportunities for improved understanding of regional climate dynamics
(Springer Nature, 20180129)Dynamical processes in the atmosphere and ocean are central to determining the largescale drivers of regional climate change, yet their predictive understanding is poor. Here, we identify three frontline challenges in ... 
ENSO Atmospheric Teleconnections and Their Response to Greenhouse Gas Forcing
(American Geophysical Union (AGU) / Wiley, 20180115)El Niño and Southern Oscillation (ENSO) is the most prominent yeartoyear climate fluctuation on Earth, alternating between anomalously warm (El Niño) and cold (La Niña) sea surface temperature (SST) conditions in the ... 
Still weighting to break the model democracy
(American Geophysical Union, 20170323)Ensembles of climate model simulations are employed to project how climate might change inthe future. How do these ensemble projections relate to what will happen to the realworld climate? 
Chaotic and nonchaotic response to quasiperiodic forcing: limits to predictability of ice ages paced by Milankovitch forcing
(Oxford University Press (OUP), 20180508)It is well known that periodic forcing of a nonlinear system, even of a twodimensional autonomous system, can produce chaotic responses with sensitive dependence on initial conditions if the forcing induces sufficient ... 
Heteroclinic switching between chimeras
(American Physical Society, 20180501)Functional oscillator networks, such as neuronal networks in the brain, exhibit switching between metastable states involving many oscillators. We give exact results how such global dynamics can arise in paradigmatic phase ... 
The utility of the historical record for assessing the transient climate response to cumulative emissions
(Royal Society, 20180513)The historical observational record offers a way to constrain the relationship between cumulative carbon dioxide emissions and global mean warming. We use a standard detection and attribution technique, along with observational ... 
Stratospheric role in interdecadal changes of El Niño impacts over Europe
(Springer Verlag, 20180402)The European precipitation response to El Niño (EN) has been found to present interdecadal changes, with alternated periods of important or negligible EN impact in late winter. These periods are associated with opposite ... 
Numerical Simulation of Control Strategies at Mutriku Wave Power Plant
(American Society of Mechanical Engineers (ASME), 2018)In order to derisk wave energy technologies and bring confidence to the sector, it is necessary to gain experience and collect data from sea trials. As part of the OPERA H2020 project, the Mutriku Wave Power Plant (MWPP) ... 
Properties of the conditionally filtered equations: Conservation, normal modes, and variational formulation
(Wiley / Royal Meteorological Society, 20180410)Conditionally filtered equations have recently been proposed as a basis for modelling the atmospheric boundary layer and convection. Conditional filtering decomposes the fluid into a number of categories or components, ...