Results 21 to 30 of about 4,824 (215)
Constructive Field Theory in Zero Dimension
, 2009 In this pedagogical note we propose to wander through five different methods to compute the number of connected graphs of the zero-dimensional $\phi^4$ field theory,in increasing order of sophistication.
Rivasseau, V.
core +5 more sources
Hölder norm estimate for a Hilbert transform in Hermitian Clifford analysis [PDF]
, 2012 A Hilbert transform for Holder continuous circulant (2 x 2) matrix functions, on the d-summable (or fractal) boundary I" of a Jordan domain Omega in a"e(2n) , has recently been introduced within the framework of Hermitean Clifford analysis. The main goal
Abreu Blaya, Ricardo +4 more
core +2 more sources
Oscillation Criteria for Matrix Hamiltonian Systems via the Summability Method
Rocky Mountain Journal of Mathematics, 2009 By using the summability method and Riccati transformation, the author studies the oscillation of the following linear matrix Hamiltonian system \[ \begin{cases} X'=A(t)X+B(t)U,\\ U'=C(t)X-A^{*}(t)U, \;t\geq0. \end{cases} \] Some new oscillation criteria are established, which improve and generalize some known results of \textit{G. J. Butler, H.
openaire +2 more sources
Weighted $\beta\gamma$-summability of fuzzy functions of order $\theta$
, 2016 The concept of weighted $\beta\gamma$ - summability of order $\theta$ in case of fuzzy functions is introduced and classified into ordinary and absolute sense. Several inclusion relations among the sets are investigated.
Ojha, Sarita, Srivastava, P. D.
core +1 more source
Universal transforms of the geometric series under generalized Riesz methods [PDF]
, 2004 In this paper generalized Riesz methods (R, p, M) of summability are considered. We prove that, to each open set O ⊂ C with adequate topological properties and each sequence {Pn} ⊂ C tending to infinity, we can associate a corresponding P-regular (R, p,
Bernal González, Luis +2 more
core +2 more sources
Aggressive prostate cancer is associated with pericyte dysfunction
Molecular Oncology, EarlyView.Tumor‐produced TGF‐β drives pericyte dysfunction in prostate cancer. This dysfunction is characterized by downregulation of some canonical pericyte markers (i.e., DES, CSPG4, and ACTA2) while maintaining the expression of others (i.e., PDGFRB, NOTCH3, and RGS5).
Anabel Martinez‐Romero +11 more
wiley +1 more source
Molecular Oncology, EarlyView.Development of therapies targeting cancer‐associated fibroblasts (CAFs) necessitates preclinical model systems that faithfully represent CAF–tumor biology. We established an in vitro coculture system of patient‐derived pancreatic CAFs and tumor cell lines and demonstrated its recapitulation of primary CAF–tumor biology with single‐cell transcriptomics ...
Elysia Saputra +10 more
wiley +1 more source
Loop Vertex Expansion for Phi^2k Theory in Zero Dimension
, 2010 In this paper we extend the method of loop vertex expansion to interactions with degree higher than 4. As an example we provide through this expansion an explicit proof that the free energy of Phi^2k scalar theory in zero dimension is Borel-Le Roy ...
Rivasseau, Vincent, Wang, Zhituo
core +2 more sources
Spectral Metric Spaces on Extensions of C*-Algebras [PDF]
, 2016 We construct spectral triples on C*-algebraic extensions of unital C*-algebras by stable ideals satisfying a certain Toeplitz type property using given spectral triples on the quotient and ideal.
Hawkins, Andrew, Zacharias, Joachim
core +3 more sources
Molecular Oncology, EarlyView.Combining PTEN protein assessment and transcriptomic profiling of prostate tumors, we uncovered a network enriched in senescence and extracellular matrix (ECM) programs associated with PTEN loss and conserved in a mouse model. We show that PTEN‐deficient cells trigger paracrine remodeling of the surrounding stroma and this information could help ...
Ivana Rondon‐Lorefice +16 more
wiley +1 more source