Determinant formulas for multidimensional hypergeometric period matrices [PDF]
In this article we derive closed-form determinant formulas for certain period matrices whose entries are multidimensional integrals of hypergeometric type with integrands based on power functions.
Zheng, Qifu, Richards, Donald
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Large fluctuations of the KPZ equation in a half-space
We investigate the short-time regime of the KPZ equation in $1+1$ dimensions and develop a unifying method to obtain the height distribution in this regime, valid whenever an exact solution exists in the form of a Fredholm Pfaffian or determinant ...
Alexandre Krajenbrink, Pierre Le Doussal
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ABSTRACT Background Acute lymphoblastic leukaemia (ALL) is one of the most treatable forms of paediatric cancer; however, there is a substantial burden of treatment‐related toxicities (TRTs). In addition, the long‐term changes in children's health‐related quality of life (HRQoL) due to toxic treatments are not well understood.
Clare Ghows +19 more
wiley +1 more source
Determinant evaluations inspired by Di Francesco\u27s determinant for twenty-vertex configurations [PDF]
In his work on the twenty vertex model, Di Francesco [Electron. J. Combin. 28(4) (2021), Paper No. 4.38] found a determinant formula for the number of configurations in a specific such model, and he conjectured a closed form product formula for the ...
Schlosser, Michael +2 more
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Determinant Form Of The Complex Phase Function Of The Steepest Descent Analysis Of Riemann-Hilbert Problems And Its Application To The Focusing Nonlinear Schrödinger Equation [PDF]
We derive a determinant formula for the g-function that plays a key role in the steepest descent asymptotic analysis of the solution of 2 × 2 matrix Riemann-Hilbert problems (RHPs) and is closely related to a hyperelliptic Riemann surface. We formulate a
Tovbis, Alexander, Venakides, Stephanos
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Solid Pseudopapillary Neoplasm of the Pancreas in Children and Adolescents: Expert Recommendations
ABSTRACT Solid pseudopapillary neoplasm of the pancreas (SPN) is a rare low‐grade malignant exocrine pancreatic tumor, mostly discovered during the second decade of life in females, with a very good prognosis, provided microscopically complete surgical excision is achieved.
Sabine Irtan +18 more
wiley +1 more source
Determinant Form of the Complex Phase Function of the Steepest Descent Analysis of Riemann-Hilbert Problems and Its Application to the Focusing Nonlinear Schrodinger Equation [PDF]
We derive a determinant formula for the g-function that plays a key role in the steepest descent asymptotic analysis of the solution of 2 x 2 matrix Riemann-Hilbert problems (RHPs) and is closely related to a hyperelliptic Riemann surface. We formulate a
core +1 more source
On the linearized stability of age-structured multispecies populations
We consider a general nonlinear age-structured population model with n interacting species. We deduce the characteristic function in the form of a determinant of an n-by-n matrix.
Jozsef Z. Farkas
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Twisted forms of the determinant
Let f be a polynomial in n variables over the field k homogeneous of degree m. Think of f as a function on a k-vector space V of dimension n. Another homogeneous polynomial \(f_ 1\) on a k-space \(V_ 1\) is called a twisted form of f split by the extension L of k if there is an L-linear isomorphism \(V_ 1\otimes L\quad \to \quad V\otimes L ...
openaire +2 more sources
Immunoglobulin Depletion and Recovery Following Blinatumomab in Infants With KMT2A‐Rearranged ALL
ABSTRACT Adding blinatumomab to standard chemotherapy for infants with KMT2A‐rearranged acute B‐cell lymphoblastic leukemia (KMT2A‐r B‐ALL) improves outcomes. Although blinatumomab impairs immunoglobulin G (lgG) production, increasing infection susceptibility, IgG recovery remains poorly understood.
Miguel Vieira Martins +14 more
wiley +1 more source

