Hasil untuk "q-bio.TO"

F. H. Jackson

R. Agarwal

N. A. Aziz, A. A. Latiff, M. Q. Lokman et al.

S. Cano, A. Klassen, A. Scott et al.

M. El-Tawil, S. N. Huseen

M. Chaichian, P. Kulish

C. Castellano, M. A. Muñoz, R. Pastor-Satorras

We introduce a nonlinear variant of the voter model, the q-voter model, in which q neighbors (with possible repetition) are consulted for a voter to change opinion. If the q neighbors agree, the voter takes their opinion; if they do not have a unanimous opinion, still a voter can flip its state with probability epsilon . We solve the model on a fully connected network (i.e., in mean field) and compute the exit probability as well as the average time to reach consensus by employing the backward Fokker-Planck formalism and scaling arguments. We analyze the results in the perspective of a recently proposed Langevin equation aimed at describing generic phase transitions in systems with two ( Z2-symmetric) absorbing states. In particular, by deriving explicitly the coefficients of such a Langevin equation as a function of the microscopic flipping probabilities, we find that in mean field the q-voter model exhibits a disordered phase for high epsilon and an ordered one for low epsilon with three possible ways to go from one to the other: (i) a unique (generalized-voter-like) transition, (ii) a series of two consecutive transitions, one (Ising-like) in which the Z2 symmetry is broken and a separate one (in the directed-percolation class) in which the system falls into an absorbing state, and (iii) a series of two transitions, including an intermediate regime in which the final state depends on initial conditions. This third (so far unexplored) scenario, in which a type of ordering dynamics emerges, is rationalized and found to be specific of mean field, i.e., fluctuations are explicitly shown to wash it out in spatially extended systems.

S. Ramlo, I. Newman

In volume 32 of this journal, Paul Stenner suggests that Stephenson was resistant to Q methodology being placed within other theoretical frameworks. Yet in this same piece, Stenner states that it is time for Q methodology to be brought into a greater dialogue with contemporary social theory and research practice. This article seeks to demonstrate how Qfits into the contemporaryresearch practice ofmixed methods and argues that this perspective is not in conflict with Stephenson's positiQns on Q as a methodology. Further, our position reflects recent calls for the developmentofnew techniques and procedures to be used in mixed-methods research. Those making the call will find interest in what Q has to offer the social and behavioral sciences now, 75 years after it emerged in Stephenson's 1935 letter to Nature, and even though the term mixed-methodsresearch has only emerged in last couple of decades. Q methodology is shown to fit well methodologically into the mixed-methods continuum as described by prominent mixed-methods scholars, which further supports a position that Q represents a mixed research methodology.

C. Shah, Sanghee Oh, J. Oh

A. Valenta, U. Wigger

J. Xiao

A. Yaghjian, H. Stuart

H. Addams, J. Proops

M. Jimbo, H. Sakai

A q-difference analog of the sixth Painlevé equation is presented. It arises as the condition for preserving the connection matrix of linear q-difference equations, in close analogy with the monodromy-preserving deformation of linear differential equations. The continuous limit and special solutions in terms of q-hypergeometric functions are also discussed.

A. Armani, K. Vahala

G. Tesauro

K. Miki

S. Garoufalidis, Thang T. Q. Lê

A function of several variables is called holonomic if, roughly speaking, it is determined from finitely many of its values via finitely many linear recursion relations with polynomial coefficients. Zeilberger was the first to notice that the abstract notion of holonomicity can be applied to verify, in a systematic and computerized way, combinatorial identities among special functions. Using a general state sum definition of the colored Jones function of a link in 3-space, we prove from first principles that the colored Jones function is a multisum of a q-proper-hypergeometric function, and thus it is q-holonomic. We demonstrate our results by computer calculations.