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Traditional stochastic modeling of reactive systems limits the domain of applicability of the associated path thermodynamics to systems involving a single elementary reaction at the origin of each observed change in composition. An…

Statistical Mechanics · Physics 2023-01-18 F. Baras , A. L. Garcia , M. Malek Mansour

The interpretation of tunneling data in a recent Letter by Zasadzinski et al. is incorrect.

Superconductivity · Physics 2007-05-23 A. Mourachkine

We present a method for computing the topological entropy of one-dimensional maps. As an approximation scheme, the algorithm converges rapidly and provides both upper and lower bounds.

chao-dyn · Physics 2009-10-22 N. J. Balmforth , E. A. Spiegel , C. Tresser

We provide a numerical refutation of the developments of Fiorini et al. (2015)* for models with disjoint sets of descriptive variables. We also provide an insight into the meaning of the existence of a one-to-one linear map between…

Computational Complexity · Computer Science 2016-10-21 Moustapha Diaby , Mark H. Karwan , Lei Sun

In this note, it is shown that the results claimed in the paper [1]---as well as the examples presented there---are, unfortunately, incorrect.

Dynamical Systems · Mathematics 2019-09-12 Alejandro Donaire , Jose Guadalupe Romero , Romeo Ortega

There is still significant debate about the symmetry of the order parameter in the heavy-fermion superconductor UPd$_{2}$Al$_{3}$, with proposals for cos(k3), cos(2k3), sin(k3),and exp(i\phi) sin(k3). Here we analyze the tunneling…

Superconductivity · Physics 2009-11-11 David Parker , Peter Thalmeier

The exploration of pathways and alternative pathways that have a specific function is of interest in numerous chemical contexts. A framework for specifying and searching for pathways has previously been developed, but a focus on which of…

Molecular Networks · Quantitative Biology 2024-12-23 Jakob L. Andersen , Sissel Banke , Rolf Fagerberg , Christoph Flamm , Daniel Merkle , Peter F. Stadler

In a recent preprint Gill and Lambare, criticize our paper published in Frontiers in Physics. Their criticism is unfounded and misleading. They define a probabilistic coupling, in which BI-CHSH hold for all finite samples. It does not mean,…

Quantum Physics · Physics 2022-09-19 Marian Kupczynski

Indiscriminate data poisoning attacks aim to decrease a model's test accuracy by injecting a small amount of corrupted training data. Despite significant interest, existing attacks remain relatively ineffective against modern machine…

Machine Learning · Computer Science 2023-06-07 Yiwei Lu , Gautam Kamath , Yaoliang Yu

This paper has been withdrawn by the author due to the gaps in the proofs of Proposition 2.2 and Proposition 3.2

Algebraic Geometry · Mathematics 2009-09-29 Ilya Tyomkin

In a recent Letter [1] a framework for estimating entropy was introduced and applied to one-dimensional and two-dimensional systems. In this Comment we show that the method is not well suited for estimating entropy in bidimensional systems…

Statistical Mechanics · Physics 2022-07-15 E. Brigatti , F. N. M. de Sousa Filho

This paper has been withdrawn because of serious errors.

High Energy Physics - Theory · Physics 2007-05-23 T. G. Philbin

In this comment, we show that the model introduced in Hess et al. Phys. Rev. Lett. {\bf 130}, 207001 (2023) fails the topological gap protocol (TGP) (Pikulin et al., arXiv:2103.12217 and M. Aghaee et al., Phys. Rev. B 107, 245424 (2023)).…

Mesoscale and Nanoscale Physics · Physics 2023-08-22 A. Antipov , W. Cole , K. Kalashnikov , F. Karimi , R. Lutchyn , C. Nayak , D. Pikulin , G. Winkler

A basic assumption behind the inequalities used for testing noncontextual hidden variable models is that the observables measured on the same individual system are perfectly compatible. However, compatibility is not perfect in actual…

Using molecular simulation to aid in the analysis of neutron reflectometry measurements is commonplace. However, reflectometry is a tool to probe large-scale structures, and therefore the use of all-atom simulation may be irrelevant. This…

Over-break and under-break excavation is very common in practical tunnel engineering with asymmetrical cavity contour, while existing conformal mapping schemes of complex variable method generally focus on tunnelling with theoretical and…

Numerical Analysis · Mathematics 2024-11-06 Luobin Lin , Fuquan Chen , Changjie Zheng , Shangshun Lin

Piecewise affine maps (PAMs) are frequently used as a reference model to show the openness of the reachability questions in other systems. The reachability problem for one-dimentional PAM is still open even if we define it with only two…

Numerical Analysis · Computer Science 2015-10-15 Oleksiy Kurganskyy , Igor Potapov

We test an optimised hopping parameter expansion on various Z_2 lattice scalar field models: the Ising model, a spin-one model and lambda (phi)^4. We do this by studying the critical indices for a variety of optimisation criteria, in a…

High Energy Physics - Phenomenology · Physics 2007-05-23 T. S. Evans , M. Ivin

In 2010, Weixiao Shen pointed out to us that the proof of Theorem 3.2 of our 2002 paper in Ann ENS was flawed, and he kindly provided an argument to fix this proof. (We do not make claims on the lower bounds for the stationary density…

Dynamical Systems · Mathematics 2017-07-10 V. Baladi , M. Benedicks , V. Maume-Deschamps

A switching method is a graph operation that results in cospectral graphs (graphs with the same spectrum). Work by Wang and Xu [Discrete Math. 310 (2010)] suggests that most cospectral graphs with cospectral complements can be constructed…

Combinatorics · Mathematics 2026-04-30 Aida Abiad , Nils van de Berg , Robin Simoens