Plasmodium falciparum-infected erythrocytes adhere dichotomously to the host receptors CD36 and chondroitin sulfate A (CSA). This dichotomy is associated with parasite sequestration to microvasculature beds (CD36) or placenta (CSA), leading to site-specific pathogenesis. Both properties are mediated by members of the variant P. falciparum erythrocyte membrane protein 1 (PfEMP-1) family and resi...

In this paper, we present Dichotomy, a novel practical architecture that exploits channel diversity to improve wireless multi-hop network throughput with a single transceiver. Unlike previous link-layer multichannel work that requires complex coordination and is difficult to implement, Dichotomy operates without clock synchronization, and with greatly reduced switching overhead. The core idea i...

A famous theorem of Szemerédi asserts that all subsets of the integers with positive upper density will contain arbitrarily long arithmetic progressions. There are many different proofs of this deep theorem, but they are all based on a fundamental dichotomy between structure and randomness, which in turn leads (roughly speaking) to a decomposition of any object into a structured (low-complexity...

In this paper we study the roughness of (ℤ+, ℤ-)-nonuniform exponential dichotomy for nonautonomous difference equations in the general context of infinite-dimensional spaces. An explicit form is given for each of the dichotomy constants of the perturbed equation in terms of the original ones. We emphasize that we do not assume any boundedness condition on the coefficients.

We prove a complexity dichotomy theorem for the six-vertex model. For every setting of the parameters of the model, we prove that computing the partition function is either solvable in polynomial time or #P-hard. The dichotomy criterion is explicit.

We consider the symbol grounding problem, and apply to it philosophical arguments against Cartesianism developed by Sellars and McDowell: the problematic issue is the dichotomy between inside and outside which the definition of a physical symbol system presupposes. Surprisingly, one can question this dichotomy and still do symbolic computation: a detailed examination of the hardware and softwar...

Abstract The paper presents some characterizations for the study of dichotomy dynamical systems. Integral Datko type are considered notion uniform with growth rates, also called h-dichotomy, skew-evolution cocycles in Banach spaces.

W.T.Gowers proved in [G1] the celebrated dichotomy concerning unconditional sequences and hereditarily indecomposable spaces using Ramsey-type argumentation. In [G2] he generalized the reasoning and showed, as an application, a dichotomy concerning quasiminimal spaces, ie. in which any two infinitely dimensional subspaces contain further two infinitely dimensional subspaces which are isomorphic...

We answer a question of Cummings and Magidor by proving that the P-ideal dichotomy of Todorčević refutes κ,ω for any uncountable κ. We also show that the P-ideal dichotomy implies the failure of κ, ω1.

In this paper another version of Gowers’ dichotomy for Banach spaces, involving topologies of special type on the Cartesian product of Banach spaces, is presented. These topologies are closely related to the game used by W. T. Gowers in his proof of the dichotomy.