Results 81 to 90 of about 85,269 (306)
Harmonic analysis of 2d CFT partition functions
Journal of High Energy Physics, 2021 We apply the theory of harmonic analysis on the fundamental domain of SL(2, ℤ) to partition functions of two-dimensional conformal field theories.
Nathan Benjamin +4 more
doaj +1 more source
On partition polynomials and partition functions
, 2020 In this paper we revisit the work of E.T. Bell concerning partition polynomials in order to introduce the reciprocal partition polynomials. We give their explicit formulas and apply the result to compute closed formulae for some well-known partition functions.
openaire +2 more sources
Subtype‐specific enhancer RNAs define transcriptional regulators and prognosis in breast cancers
Molecular Oncology, EarlyView.This study employed machine learning methodologies to perform the subtype‐specific classification of RNA‐seq data sets, which are mapped on enhancers from TCGA‐derived breast cancer patients. Their integration with gene expression (referred to as ProxCReAM eRNAs) and chromatin accessibility profiles has the potential to identify lineage‐specific and ...
Aamena Y. Patel +6 more
wiley +1 more source
Molecular Oncology, EarlyView.Tumors contain diverse cellular states whose behavior is shaped by context‐dependent gene coordination. By comparing gene–gene relationships across biological contexts, we identify adaptive transcriptional modules that reorganize into distinct vulnerability axes.
Brian Nelson +9 more
wiley +1 more source
Partition functions in statistical mechanics, symmetric functions, and group representations [PDF]
, 2001 Partition functions for noninteracting particles are known to be symmetric functions. It is shown that powerful group- theoretical techniques can be used not only to derive these relationships, but also to significantly simplify calculation of the ...
Balantekin, A., Balantekin, A. B.
core
Trinion conformal blocks from topological strings
Journal of High Energy Physics, 2020 In this paper we investigate the relation between conformal blocks of Liouville CFT and the topological string partition functions of the rank one trinion theory T 2.
Ioana Coman, Elli Pomoni, Joerg Teschner
doaj +1 more source
Crystal melting, BPS quivers and plethystics
Journal of High Energy Physics, 2022 We study the refined and unrefined crystal/BPS partition functions of D6-D2-D0 brane bound states for all toric Calabi-Yau threefolds without compact 4-cycles and some non-toric examples.
Jiakang Bao, Yang-Hui He, Ali Zahabi
doaj +1 more source
Generating Functions and Congruences for Some Partition Functions Related to Mock Theta Functions [PDF]
, 2019 Recently, Andrews, Dixit and Yee introduced partition functions associated with Ramanujan/Watson third order mock theta functions $\omega(q)$ and $\nu(q)$.
Baruah, Nayandeep Deka +1 more
core +2 more sources
Molecular Oncology, EarlyView.Intratumour heterogeneity complicates precision management of advanced endometrial cancer. Circulating tumor DNA (ctDNA) offers a minimally invasive strategy to capture tumor evolution and therapeutic resistance. Here, we compare tumor‐agnostic NGS with tumor‐informed ddPCR, outlining their relative sensitivity, concordance, and clinical implications ...
Carlos Casas‐Arozamena +15 more
wiley +1 more source
Molecular Oncology, EarlyView.A urine‐based digital PCR assay targeting two hotspot TERT promoter variants detected bladder cancer with high sensitivity and no false positives in this case–control cohort. The streamlined AbsoluteQ workflow outperformed Sanger sequencing and supports non‐invasive molecular testing for bladder cancer detection.
Anna Nykel +12 more
wiley +1 more source