Asymptotic Integration of Certain Differential Equations in Banach Space
We investigate the problem of constructing the asymptotics for weak solutions of certain class of linear differential equations in the Banach space as the independent variable tends to infinity.
Pavel N. Nesterov
doaj +1 more source
Integrating by parts at finite density
Both nonzero temperature and chemical potentials break the Lorentz symmetry present in vacuum quantum field theory by singling out the rest frame of the heat bath.
Juuso Österman +2 more
doaj +1 more source
Randomized Benchmarking beyond Groups
Randomized benchmarking (RB) is the gold standard for experimentally evaluating the quality of quantum operations. The current framework for RB is centered on groups and their representations but this can be problematic.
Jianxin Chen, Dawei Ding, Cupjin Huang
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Lieb-Robinson bounds and out-of-time order correlators in a long-range spin chain
Lieb-Robinson bounds quantify the maximal speed of information spreading in nonrelativistic quantum systems. We discuss the relation of Lieb-Robinson bounds to out-of-time order correlators, which correspond to different norms of commutators C(r,t)=[A_{i}
Luis Colmenarez, David J. Luitz
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Ligand‐dependent transcriptional heterogeneity in cell cycle gene expression delays G1/S entry
EGF and HRG induce distinct G1/S progression programs in ErbB2‐amplified BT474 breast cancer cells. Despite activating the potent ErbB2–ErbB3 heterodimer, HRG does not accelerate cell‐cycle entry. Instead, EGF promotes earlier restriction‐point passage via ERK–FOS signaling, whereas HRG activates the AKT–MYC axis, driving transcriptional heterogeneity ...
Ririn Rahmala Febri +5 more
wiley +1 more source
PERTURBATION THEORY FOR ELECTROMAGNETIC WAVE SCATTERING IN RANDOM LAYERED STRUCTURES [PDF]
The problem of electromagnetic wave scattering in 3-D random layered structures, is analytical treated by relying on original results of the Boundary Perturbation Theory (BPT) and Volumetric-Perturbative Reciprocal Theory (VPRT), whose structured ...
Imperatore, Pasquale
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Synergistic perspectives—How single‐molecule biophysics complement biochemical understanding
In this review, we discuss how ensemble biochemistry and single‐molecule approaches are complementary, outline commonly used single‐molecule techniques, and illustrate their relevance through two representative case studies: chromatin organization by SMC complexes and pathway choice during DNA double‐strand break repair.
Sara De Bragança +2 more
wiley +1 more source
Spectral properties of non-local uniformly-elliptic operators [PDF]
In this paper we consider the spectral properties of a class of non-local uniformly elliptic operators, which arise from the study of non-local uniformly elliptic partial differential equations. Such equations arise naturally in the study of a variety of
Niall Dodds +3 more
core
Finite-dimensional perturbations of linear operators and some applications to boundary integral equations [PDF]
Finite-dimensional perturbing operators are constructed using some incomplete information about eigen-solutions of an original and/or adjoint generalized Fredholm operator equation (with zero index).
S.E. Mikhailov, Mikhailov, SE
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Translophagy—A potential link between autophagy impairment and translational errors
Neurodegenerative diseases are characterised by the accumulation of abnormal proteins and protein aggregates, but their origin often remains unknown. We propose that selective autophagy removes damaged protein‐making machinery, preventing errors during protein synthesis.
Mykola V. Korolchuk +11 more
wiley +1 more source

