We show that for lazy simple random walks on finite spherically symmetric trees, the ratio of mixing time and relaxation is bounded by a universal constant. Consequently, any sequence trees do not exhibit pre-cutoff; this conclusion also holds continuous-time walks. This answers question recently proposed Gantert, Nestoridi, Schmid. hitting times vertices are (uniformly) non concentrated. Final...

Recently a conformally invariant action describing the Wilson-Fisher fixed point in D=4−ϵ dimensions presence of finite UV cutoff was constructed [44]. In present paper we construct two composite operator perturbations this with definite scaling dimension also cutoff. Thus (as well as action) is defined at all momenta 0≤p≤∞ and low energies they reduce to ∫xϕ2 ∫xϕ4 respectively. The constructio...

The East process is a 1D kinetically constrained interacting particle system, introduced in the physics literature in the early 90’s to model liquid-glass transitions. Spectral gap estimates of Aldous and Diaconis in 2002 imply that its mixing time on L sites has order L. We complement that result and show cutoff with an O( √ L)-window. The main ingredient is an analysis of the front of the pro...

decreased immune response and dysregulated coordination between inflammatory and inflammation-neutralizing processes. The decline in immune competence is invariably seen with aging. As a consequence, viral or bacterial infections, chronic inflammatory disorders, autoimmune diseases, and cancers are more prevalent in elderly. In addition to genomic and epigenomic instability with age, decreased ...

BACKGROUND Scar heterogeneity identified with contrast-enhanced cardiac magnetic resonance (CE-CMR) has been related to its arrhythmogenic potential by using different algorithms. The purpose of the study was to identify the algorithm that best fits with the electroanatomic voltage maps (EAM) to guide ventricular tachycardia (VT) ablation. METHODS AND RESULTS Three-dimensional scar reconstruc...

Introduction: Utilizing lower limit of bone marrow plasma cells (BMPCs) is the main existing criterion for diagnosis of multiple myeloma (MM). According to the revised international myeloma working group (IMWG) diagnostic criteria, the value of 10% is agreed among experts as the cutoff level for diagnosis. Symptomatic patients with BMPC above this value are identified as definite cases of MM. H...

Introduction: Utilizing lower limit of bone marrow plasma cells (BMPCs) is the main existing criterion for diagnosis of multiple myeloma (MM). According to the revised international myeloma working group (IMWG) diagnostic criteria, the value of 10% is agreed among experts as the cutoff level for diagnosis. Symptomatic patients with BMPC above this value are identified as definite cases of MM. H...