#### Filter Results:

- Full text PDF available (45)

#### Publication Year

2000

2017

- This year (1)
- Last 5 years (15)
- Last 10 years (41)

#### Publication Type

#### Co-author

#### Journals and Conferences

#### Key Phrases

Learn More

- Ian Stewart, Martin Golubitsky, Marcus Pivato
- SIAM J. Applied Dynamical Systems
- 2003

A coupled cell system is a network of dynamical systems, or ‘cells’, coupled together. Such systems can be represented schematically by a directed graph whose nodes correspond to cells and whose edges represent couplings. A symmetry of a coupled cell system is a permutation of the cells that preserves all internal dynamics and all couplings. Symmetry can… (More)

- Marcus Pivato
- 2008

If X is a discrete abelian group and A a finite set, then a cellular automaton (CA) is a continuous map F : A −→ A that commutes with all X-shifts. If φ : A −→ R, then, for any a ∈ A, we define Σφ(a) = ∑ x∈X φ(ax) (if finite); φ is conserved by F if Σφ is constant under the action of F. We characterize such conservation laws in several ways, deriving both… (More)

Let M be a monoid (e.g. N, Z, or Z), and A an abelian group. A is then a compact abelian group; a linear cellular automaton (LCA) is a continuous endomorphism F : A −→ A that commutes with all shift maps. Let μ be a (possibly nonstationary) probability measure on A; we develop sufficient conditions on μ and F so that the sequence {Fμ}N=1 weak*-converges to… (More)

- Klaus Nehring, Marcus Pivato, Clemens Puppe
- J. Economic Theory
- 2014

Judgement aggregation is a model of social choice in which the space of social alternatives is the set of consistent evaluations (‘views’) on a family of logically interconnected propositions, or yes/no-issues. Yet, simply complying with the majority opinion in each issue often yields a logically inconsistent collection of judgements. Thus, we consider the… (More)

What is the meaning of “majoritarianism” as a principle of democratic group decision-making in a judgement aggregation problem, when the propositionwise majority view is logically inconsistent? We argue that the majoritarian ideal is best embodied by the principle of supermajority efficiency (SME). SME reflects the idea that smaller supermajorities must… (More)

If M is a monoid, and A is an abelian group, then A is a compact abelian group; a linear cellular automaton (LCA) is a continuous endomorphism F : A −→ A that commutes with all shift maps. If F is diffusive, and μ is a harmonically mixing (HM) probability measure on A, then the sequence {Fμ}N=1 weak*-converges to the Haar measure on A, in density. Fully… (More)

- Philippe Mongin, Marcus Pivato
- J. Economic Theory
- 2015

We introduce a two-stage ranking of multidimensional alternatives, including uncertain prospects as particular case, when these objects can be given a suitable matrix form. The first stage defines a ranking of rows and a ranking of columns, and the second stage ranks matrices by applying natural monotonicity conditions to these auxiliary rankings. Owing to… (More)

- Marcus Pivato, Luis Secoy
- 2000

A new method is developed for estimating the spectral measure of a multivariate stable probability measure, by representing the measure as a sum of spherical harmonics. r 2003 Elsevier Science (USA). All rights reserved. AMS 2000 subject classifications: primary 60E07; secondary 33C55

- Marcus Pivato
- Social Choice and Welfare
- 2013

- Marcus Pivato
- 2008

A right-sided, nearest neighbour cellular automaton (RNNCA) is a continuous transformation Φ : A−→A determined by a local rule φ : A{0,1}−→A so that, for any a ∈ A and any z ∈ Z, Φ(a)z = φ(az, az+1). We say that Φ is bipermutative if, for any choice of a ∈ A, the map A ∋ b 7→ φ(a, b) ∈ A is bijective, and also, for any choice of b ∈ A, the map A ∋ a 7→ φ(a,… (More)