The non-squeezing theorem, also called Gromov's non-squeezing theorem, is one of the most important theorems in symplectic geometry. It was first proven...

compactness theorem (topology) in symplectic topology Gromov's Betti number theorem [ru] Gromov–Ruh theorem on almost flat manifolds Gromov's non-squeezing theorem...

where energy may be transferred to internal degrees of freedom. The non-squeezing theorem, which applies to all symplectic maps (the Hamiltonian is a symplectic...

theory and the monotonicity formula for minimal surfaces, is the "non-squeezing theorem," which provided a striking qualitative feature of symplectic geometry...

(differential geometry) Non-squeezing theorem (symplectic geometry) Rashevsky–Chow theorem (control theory) Rauch comparison theorem (Riemannian geometry)...

of logically-consistent majority rule; Arrow's theorem generalizes Condorcet's findings to include non-majoritarian rules like collective leadership or...

Gosson was the first to prove that Mikhail Gromov's symplectic non-squeezing theorem (also called the Principle of "the Symplectic Camel") allowed the...

is nonempty and contractible. Gromov used this theory to prove a non-squeezing theorem concerning symplectic embeddings of spheres into cylinders. Gromov...

ISBN 978-3-642-02838-0. By eliminating the squeezing effect, Approval Voting would encourage the election of consensual candidates. The squeezing effect is typically observed...

In political science and social choice, Black's median voter theorem says that if voters and candidates are distributed along a political spectrum, any...

backward. Indeed, the area of any hyperbolic sector is invariant under squeezing. For another approach to a flow with hyperbolic streamlines, see Potential...

be seen as the mirror analogue of that theorem. Note that anonymity is a stronger requirement than Arrow's non-dictatorship. Another way of explaining...

equation Quotient rule Ramsey's theorem Rao–Blackwell theorem Rice's theorem Rolle's theorem Splitting lemma squeeze theorem Sum rule in differentiation Sum...

vol. 122, 1995, parts 1,2, pp. 1–34, 35–69 with McDuff: Local Non-Squeezing Theorems and Stability, Geometric and Functional Analalysis, vol. 5, 1995...

In differential geometry, the Atiyah–Singer index theorem, proved by Michael Atiyah and Isadore Singer (1963), states that for an elliptic differential...

social choice functions. The Gibbard–Satterthwaite theorem implies that the only rule satisfying non-imposition (every alternative can be chosen) and strategyproofness...

functional analysis for the spectral theorem. When it is necessary to distinguish the usual measures which take non-negative values from generalizations...

when the dictator is indifferent. Non-dictatorship is one of the necessary conditions in Arrow's impossibility theorem. In Social Choice and Individual...

independence of irrelevant alternatives, and non-dictatorship. However, the conditions of the theorem can be satisfied if unrestricted domain is removed...

functions of real variables x, as x approaches a point from above or below Squeeze theorem – confirms the limit of a function via comparison with two other functions...

The McKelvey–Schofield chaos theorem is a result in social choice theory. It states that if preferences are defined over a multidimensional policy space...

even to "an aggressive culture and conflict"; however, the median voter theorem guarantees that majority-rule will tend to elect "compromise" or "consensus"...

can resolve observed paradoxes. However, as shown by the Balinski–Young theorem, it is not always possible to provide a perfectly fair resolution that...

These models give rise to an influential theorem—the median voter theorem—attributed to Duncan Black. This theorem stipulates that within a broad range of...

ISBN 978-3-642-02838-0. By eliminating the squeezing effect, Approval Voting would encourage the election of consensual candidates. The squeezing effect is typically observed...

S has non-zero curvature. The case when S is the unit sphere in Rn is of particular interest. In this case the Tomas–Stein restriction theorem states...

specialising in geometry. His contributions include the Atiyah–Singer index theorem and co-founding topological K-theory. He was awarded the Fields Medal in...

individual. This result is known as Harsanyi's utilitarian theorem. By Harsanyi's theorem, any non-utilitarian social choice function will be incoherent;...

choice and judgement aggregation. It extends the voting paradox and Arrow's theorem to situations where the goal is to combine different sources of information...

measure. 4-volume Edison Farah Lebesgue's density theorem Lebesgue measure of the set of Liouville numbers Non-measurable set Vitali set Peano–Jordan measure...