Poisson structures compatible with the cluster algebra structure in Grassmannians (2009)
Gekhtman, Michael, Shapiro, Michael, Stolin, Alexander, Vainshtein, Alek
We describe all Poisson brackets compatible with the natural cluster algebra structure in the open Schubert cell of the Grassmannian $G_k(n)$ and show that any such bracket endows $G_k(n)$ with a...
Gekhtman, Michael, Shapiro, Michael, Vainshtein, Alek
We present the third in the series of papers describing Poisson properties of planar directed networks in the disk or in the annulus. In this paper we concentrate on special networks N_{u,v} in the...
SOME ELEMENTARY PROPERTIES OF SIR NETWORKS OR, CAN I GET SICK BECAUSE YOU GOT VACCINATED? (2009)
William Floyd, Leslie Kay, Michael Shapiro
An epidemic is sometimes said to spread like wildfire. Might it then be controlled by setting backfires? A fire is fueled by the available timber, an epidemic by the available susceptible population....
Poisson Geometry of Directed Networks in an Annulus (2008)
Gekhtman, Michael, Shapiro, Michael, Vainshtein, Alek
As a generalization of Postnikov's construction (see arXiv: math/0609764), we define a map from the space of edge weights of a directed network in an annulus into a space of loops in the...
Skew-symmetric cluster algebras of finite mutation type (2008)
Felikson, Anna, Shapiro, Michael, Tumarkin, Pavel
In 2003, Fomin and Zelevinsky obtained Cartan-Killing type classification of all cluster algebras of finite type, i.e. cluster algebras having only finitely many distinct cluster variables. A wider...
Poisson Geometry of Directed Networks in a Disk (2008)
Gekhtman, Michael, Shapiro, Michael, Vainshtein, Alek
We investigate Poisson properties of Postnikov's map from the space of edge weights of a planar directed network into the Grassmannian. We show that this map is Poisson if the space of edge weights...
Rewriting Systems and Geometric 3-Manifolds * (2008)
Susan Hermiller, Michael Shapiro
Abstract: The fundamental groups of most (conjecturally, all) closed 3manifolds with uniform geometries have finite complete rewriting systems. The fundamental groups of a large class of amalgams of...
ON TOTAL REALITY OF MEROMORPHIC FUNCTIONS (2008)
Alex Degtyarev, Torsten Ekedahl, Ilia Itenberg, Boris Shapiro, Michael Shapiro
Abstract. We show that if a meromorphic function of degree at most four on a real algebraic curve of an arbitrary genus has only real critical points then it is conjugate to a real meromorphic...
First steps towards total reality of meromorphic functions (2008)
Torsten Ekedahl, Boris Shapiro, Michael Shapiro
Abstract. It was earlier conjectured by the second and the third authors that any rational curve γ: CP 1 → CP n such that the inverse images of all its flattening points lie on the real line RP 1...
ON EIGENVALUES OF RECTANGULAR MATRICES (2008)
Julius Borcea, Boris Shapiro, Michael Shapiro
Abstract. Given a (k+1)-tuple A, B1,..., Bk of (m×n)-matrices with m ≤ n we call the set of all k-tuples of complex numbers {λ1,..., λk} such that the linear combination A + λ1B1 + λ2B2 +... +...
Rewriting Systems and Geometric 3-Manifolds (2007)
Susan Hermiller, Michael Shapiro
: The fundamental groups of most (conjecturally, all) closed 3manifolds with uniform geometries have finite complete rewriting systems. The fundamental groups of a large class of amalgams of circle...
Walter D. Neumann and Michael Shapiro (2007)
Ha Pi Ro, Walter D. Neumann, Michael Shapiro
. We describe a virtually abelian group G generated by a finite set X such that there is no regular language of geodesic X-words that surjects to G by evaluation. 1. Introduction Cannon gave an...
Simply-Laced Coxeter Groups And Groups Generated By Symplectic Transvections (2007)
Boris Shapiro, Michael Shapiro, Alek Vainshtein, Andrei Zelevinsky
this paper is the following result obtained in [10, 11]. Let N
Automatic Structures on Central Extensions (2007)
Walter D. Neumann, Michael Shapiro
. We show that a central extension of a group H by an abelian group A has an automatic structure with A a rational subgroup if and only if H has an automatic structure for which the extension is...
Boris Shapiro, Michael Shapiro, Alek Vainshtein
. We consider intersections of Schubert cells Bff \Delta B and oeBoe \Gamma1 fi \Delta B in the space of complete flags F = SL=B, where B denotes the Borel subgroup of upper triangular matrices,...
and M.Shapiro, Coding parking functions by pairs of permutations (2007)
We introduce a new class of admissible pairs of triangular sequences and prove a bijection between the set of admissible pairs of triangular sequences of length n and the set of parking functions of...
A Short course in geometric group theory Notes for the ANU Workshop January/February 1996 (2007)
Walter D. Neumann, Michael Shapiro
Introduction: Dehn's 3 Questions 1) The word problem. 2) The conjugacy problem. 3) The isomorphism problem.
Matthew Cushman, Erik Selberg, Robert Findler, Eric Sedlar, Darius Clynes, Jay Gowdy, ...
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Coding Parking Functions By Pairs of Permutations (2007)
Yurii Burman Independent, Yurii Burman, Michael Shapiro
We introduce a new class of admissible pairs of triangular sequences and prove a bijection between the set of admissible pairs of triangular sequences of length n and the set of parking functions of...
Efrat Broide, Judith Sandbank, Eitan Scapa, Nimrod Alain Kimchi, Michael Shapiro, Aaron Lerner
Lymphocytic gastritis (LG) is associated with helicobacter pylori (Hp) and celiac disease (CD). We aimed to clarify the relationship between Hp infection and CD by defining a unique histopathology...
On total reality of meromorphic functions (2007)
Degtyarev, Alex, Ekedahl, Torsten, Itenberg, Ilia, Shapiro, Boris, Shapiro, Michael
Efrat Broide, Judith Sandbank, Eitan Scapa, Nimrod Alain Kimchi, Michael Shapiro, Aaron Lerner
Lymphocytic gastritis (LG) is associated with helicobacter pylori (Hp) and celiac disease (CD). We aimed to clarify the relationship between Hp infection and CD by defining a unique histopathology...
Rational functions and real Schubert calculus (2005)
Eremenko, Alex, Gabrielov, Andrei, Shapiro, Michael, Vainshtein, Alek
Early history of the pre-excitation syndrome (2005)
Hanon, Sam, Shapiro, Michael, Schweitzer, Paul
This brief review discusses the interesting early history of the pre-excitation syndrome. In 1913 Cohn and Fraser published the first patient with a short P-R interval, wide QRS complexes, and...
A rare, late complication after automated implantable cardioverter-defibrillator placement. (2004)
Shapiro, Michael, Hanon, Sam, Schweitzer, Paul
This article describes an interesting case of automated implantable cardioverter defibrillator (AICD) extrusion fifteen months after implantation. The case report is followed by a discussion of the...
Sam, Hanon, Shapiro, Michael, Schweitzer, Paul
The following article presents an unusual case of atrial tachycardia, initially misdiagnosed due to a lack of clear P waves. The diagnosis was eventually confirmed using the atrial electrogram from...
GRASS Programmer's Manual (2004)
Markus Neteler, Michael Shapiro, James Westervelt, Dave Gerdes, Majorie Larson
GRASS (Geographical Resources Analysis Support System) is a comprehensive GIS with raster, topological vector, image processing, and graphics production functionality. This manual introduces the...
Qp-spaces in Clifford analysis (2001)
Cnops, Jan, Delanghe, Richard, Guerlebeck, Klaus, Shapiro, Michael
Managing Databases with Binary Large Objects (1999)
We present recommendations on Performance Management for databases supporting Binary Large Objects (BLOB) that, under a wide range of conditions, save both storage space and database transactions...
Managing Databases with Binary Large Objects (1999)
Michael Shapiro, Ethan L. Miller
We present recommendations on Performance Management for databases supporting Binary Large Objects (BLOB) that, under a wide range of conditions, save both storage space and database transactions...
On groups whose word problem is solved by a nested stack automaton. arXiv:math.GR/9812028 (1998)
Robert Gilman, Michael Shapiro
Abstract. Accessible groups whose word problems are accepted by a deterministic nested stack automaton with limited erasing are virtually free. 1. Introduction. During the past several years...
On Combinatorics And Topology Of Pairwise Intersections Of Schubert Cells In (1996)
Boris Shapiro, Michael Shapiro, Alek Vainshtein
this article. Sincere thanks are due to Prof. T.Springer who was first to point out to the authors the necessity to check the property of being a stratification and mentioned the paper [Boe]. 1....
A Multiscale Random Field Model for Bayesian Image Segmentation (1996)
Charles A. Bouman, Michael Shapiro
Many approaches to Bayesian image segmentation have used maximum a posteriori (MAP) estimation in conjunction with Markov random fields (MRF). While this approach performs well, it has a number of...
On Combinatorics And Topology Of Pairwise Intersections Of Schubert Cells In SL n /B (1996)
Boris Shapiro, Michael Shapiro, Alek Vainshtein
this article. Sincere thanks are due to Prof. T.Springer who was first to point out to the authors the necessity to check the property of being a stratification and mentioned the paper [Boe]. 1....
Tracing of User Programs for Incremental Replay (1996)
User programs may be long-running and have arbitrarily complex interactions with their environment, and thus reproducing bugs by repeated re-execution may be impractical or impossible. To facilitate...
Automatic Structures and Boundaries for Graphs of Groups (1994)
Walter D. Neumann, Michael Shapiro
. We study the synchronous and asynchronous automatic structures on the fundamental group of a graph of groups in which each edge group is finite. Up to a natural equivalence relation, the set of...
A multiscale random field model for bayesian image segmentation (1994)
Charles A. Bouman, Michael Shapiro
Abstruct- Many approaches to Bayesian image segmentation have used maximum a posteriori (MAP) estimation in conjunction with Markov random fields (MRF). Although this approach per-forms well, it has...
Topology Of Intersections Of Schubert Cells And Hecke Algebra (1993)
Boris Shapiro, Michael Shapiro, Alek Vainshtein
. We consider intersections of Schubert cells Bff \Delta B and oeBoe \Gamma1 fi \Delta B in the space of complete flags F = SL=B, where B denotes the Borel subgroup of upper triangular matrices,...
Shapiro, Michael, Arvidson, Dennis N., Pfau, James, Youderian, Philip
The phenotypes of four mutant Escherichia coli Trp repressor proteins with increased activities have been examined in vivo using the challenge-phage assay, an assay based on a positive genetic...
R.MAPCALC: An Algebra for GIS and Image Processing (1992)
Michael Shapiro, Jim Westervelt
This paper describes a map algebra language that can form the foundation for overlay and neighborhood analyses in both raster geographic information systems and image processing systems. The language...
Performing Map Calculations on GRASS Data: r.mapcalc Program Tutorial (1991)
Marji Larson, Michael Shapiro, Scott Tweddale
This paper describes a map algebra language that can form the foundation for overlay and neighborhood analyses in both raster geographic information systems and image processing systems The language...
Thesis (Ph. D.)--New York University, 1988.
On the dynamics of acute EBV infection and the pathogenesis of infectious mononucleosis
Hadinoto, Vey, Shapiro, Michael, Greenough, Thomas C., Sullivan, John L., Luzuriaga, Katherine, Thorley-Lawson, David A.
Memory B cells latently infected with Epstein-Barr virus (mBLats) in the blood disappear rapidly on presentation with acute symptomatic primary infection (acute infectious mononucleosis [AIM]). They...
Hadinoto, Vey, Shapiro, Michael, Sun, Chia Chi, Thorley-Lawson, David A.
To develop more detailed models of EBV persistence we have studied the dynamics of virus shedding in healthy carriers. We demonstrate that EBV shedding into saliva is continuous and rapid such that...