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Rost nilpotence and free theories (2018)
Journal Article
Gille, S., & Vishik, A. (2018). Rost nilpotence and free theories. Documenta Mathematica, 23, 1635-1657

We introduce coherent cohomology theories h_* and prove that if such a theory is moreover generically constant then the Rost nilpotence principle holds for projective homogeneous varieties in the category of h_*-motives. Examples of such theories are... Read More about Rost nilpotence and free theories.

Mutation and Selection in Bacteria: Modelling and Calibration (2018)
Journal Article
Bayliss, C. D., Fallaize, C., Howitt, R., & Tretyakov, M. V. (2019). Mutation and Selection in Bacteria: Modelling and Calibration. Bulletin of Mathematical Biology, 81(3), 639-675. https://doi.org/10.1007/s11538-018-0529-9

© 2018, The Author(s). Temporal evolution of a clonal bacterial population is modelled taking into account reversible mutation and selection mechanisms. For the mutation model, an efficient algorithm is proposed to verify whether experimental data ca... Read More about Mutation and Selection in Bacteria: Modelling and Calibration.

Analysis of networks where discontinuities and nonsmooth dynamics collide: understanding synchrony (2018)
Journal Article
Yi Ming, L., Thul, R., & Coombes, S. (2018). Analysis of networks where discontinuities and nonsmooth dynamics collide: understanding synchrony. European Physical Journal - Special Topics, 227(10-11), 1251-1265. https://doi.org/10.1140/epjst/e2018-800033-y

Integrate-and-fire networks have proven remarkably useful in modelling the dynamics of real world phenomena ranging from earthquakes, to synchrony in neural networks, to cascading activity in social networks. The reset process means that such models... Read More about Analysis of networks where discontinuities and nonsmooth dynamics collide: understanding synchrony.

Stochastic electromagnetic field propagation: measurement and modelling (2018)
Journal Article
Gradoni, G., Russer, J., Baharuddin, M. H., Haider, M., Russer, P., Smartt, C., … Thomas, D. W. (2018). Stochastic electromagnetic field propagation: measurement and modelling. Philosophical Transactions A: Mathematical, Physical and Engineering Sciences, 376, Article 20170455. https://doi.org/10.1098/rsta.2017.0455

This paper reviews recent progress in the measurement and modelling of stochastic electromagnetic fields, focusing on propagation approaches based on Wigner functions and the method of moments technique. The respective propagation methods are exempli... Read More about Stochastic electromagnetic field propagation: measurement and modelling.

Compensated convexity methods for approximations and interpolations of sampled functions in Euclidean spaces: applications to contour lines, sparse data and inpainting (2018)
Journal Article
Zhang, K., Crooks, E., & Orlando, A. (2018). Compensated convexity methods for approximations and interpolations of sampled functions in Euclidean spaces: applications to contour lines, sparse data and inpainting. SIAM Journal on Imaging Sciences, 11(4), 2368-2428. https://doi.org/10.1137/17M116152X

This paper is concerned with applications of the theory of approximation and interpolation based on compensated convex transforms developed in [55]. We apply our methods to (i) surface reconstruction starting from the knowledge of finitely many level... Read More about Compensated convexity methods for approximations and interpolations of sampled functions in Euclidean spaces: applications to contour lines, sparse data and inpainting.

Extreme values of CUE characteristic polynomials: a numerical study (2018)
Journal Article
Fyodorov, Y. V., Gnutzmann, S., & Keating, J. P. (2018). Extreme values of CUE characteristic polynomials: a numerical study. Journal of Physics A: Mathematical and Theoretical, 51(46), Article 464001. https://doi.org/10.1088/1751-8121/aae65a

We present the results of systematic numerical computations relating to the extreme value statistics of the characteristic polynomials of random unitary matrices drawn from the circular unitary ensemble (CUE) of random matrix theory. In particular, w... Read More about Extreme values of CUE characteristic polynomials: a numerical study.

Generic emergence of objectivity of observables in infinite dimensions (2018)
Journal Article
Knott, P. A., Tufarelli, T., Piani, M., & Adesso, G. (2018). Generic emergence of objectivity of observables in infinite dimensions. Physical Review Letters, 121(16), Article 160401. https://doi.org/10.1103/PhysRevLett.121.160401

Quantum Darwinism posits that information becomes objective whenever multiple observers indirectly probe a quantum system by each measuring a fraction of the environment. It was recently shown that objectivity of observables emerges generically from... Read More about Generic emergence of objectivity of observables in infinite dimensions.

Spatial attention affects the early processing of neutral versus fearful faces when they are task-irrelevant: a classifier study of the EEG C1 component (2018)
Journal Article
Acunzo, D., MacKenzie, G., & Van Rossum, M. (2019). Spatial attention affects the early processing of neutral versus fearful faces when they are task-irrelevant: a classifier study of the EEG C1 component. Cognitive, Affective, and Behavioral Neuroscience, 19(1), 123–137. https://doi.org/10.3758/s13415-018-00650-7

EEG studies suggest that the emotional content of visual stimuli is processed rapidly. In particular, the C1 component, which occurs up to 100 ms after stimulus onset and likely reflects activity in primary visual cortex V1, has been reported to be s... Read More about Spatial attention affects the early processing of neutral versus fearful faces when they are task-irrelevant: a classifier study of the EEG C1 component.

Certification and quantification of multilevel quantum coherence (2018)
Journal Article
Ringbauer, M., Bromley, T. R., Cianciaruso, M., Lami, L., Lau, W. S., Adesso, G., …Piani, M. (2018). Certification and quantification of multilevel quantum coherence. Physical Review X, 8(4), Article 041007. https://doi.org/10.1103/physrevx.8.041007

Quantum coherence, present whenever a quantum system exists in a superposition of multiple classically distinct states, marks one of the fundamental departures from classical physics. Quantum coherence has recently been investigated rigorously within... Read More about Certification and quantification of multilevel quantum coherence.

The effect of forest dislocations on the evolution of a phase-field model for plastic slip (2018)
Journal Article
Dondl, P., Kurzke, M., & Wojtowytsch, S. (2019). The effect of forest dislocations on the evolution of a phase-field model for plastic slip. Archive for Rational Mechanics and Analysis, 232(1), 65–119. https://doi.org/10.1007/s00205-018-1317-2

We consider the gradient flow evolution of a phase-field model for crystal dislocations in a single slip system in the presence of forest dislocations. The model is based on a Peierls-Nabarro type energy penalizing non-integer slip and elastic stress... Read More about The effect of forest dislocations on the evolution of a phase-field model for plastic slip.