The reverse quantum speed limit (RQSL) gives an upper to the time for evolution between initial and final states. We show that, in conjunction with existence of a minimum scale, RQSL implies lower norm change state, confirm that this is satisfied two-state ideal-measurement models. Such relevance interpretational issues probability understanding meaning Everett theory.

We study the off-diagonal estimates for transition densities of diffusions and jump processes in a setting when they depend essentially only on the time and distance. We state and prove the dichotomy for the tail of the transition density. 1. Preliminaries Let (M, d) be a locally compact separable metric space and μ be a Radon measure on M with full support. Definition 1.1. A family {pt}t>0 of ...

Let X be a compact complex manifold, L → X an ample line bundle over X, and H the space of all positively curved metrics on L. We show that a pair (h0, T ) consisting of a point h0 ∈ H and a test configuration T = (L → X → C), canonically determines a weak geodesic ray R(h0, T ) in H which emanates from h0. Thus a test configuration behaves like a vector field on the space of Kähler potentials ...

Let Ω be a domain in the N -dimensional real space, L be an elliptic differential operator, and (Tn) be a sequence whose members belong to a certain class of operators defined on the space of L-analytic functions on Ω. It is proved in this paper the existence of a dense linear manifold of L-analytic functions all of whose nonzero members have maximal cluster sets under the action of every Tn al...

2. A representation of O(∞). Since p ( 1 2 d− 3 2 , 1 2 d− 3 2 ) n has an interpretation as spherical function on O(d)/O(d− 1), the above limit formulas suggest that monomials and Hermite polynomials have some interpretation on O(∞). This is indeed the case, see for instance McKean [5] and Matsushima e.a. [4]. Let us explain this briefly. Let S be the sphere of radius (d/2) 1 2 and midpoint 0 i...

Acknowledgment: We thank Philip D. Loewen for careful and critical reading of an early version of this paper. We also thank Jane J. J. Ye for her comments. Abstract. We provide a reened sensitivity analysis for nite and innnite horizon control problems where in both cases the perturbation space is L 1. Our underlying technique relies on a recent sequential description of both the generalized gr...

a new definition of boundedness of linear order-homomorphisms (loh)in $l$-topological vector spaces is proposed. the new definition iscompared with the previous one given by fang [the continuity offuzzy linear order-homomorphism, j. fuzzy math. 5 (4) (1997)829$-$838]. in addition, the relationship between boundedness andcontinuity of lohs is discussed. finally, a new uniform boundednessprincipl...

The Schwinger model, defined in the space interval −L ≤ x ≤ L, with (anti)periodic boundary conditions, is canonically quantized in the lightcone gauge A− = 0 by means of equal-time (anti)commutation relations. The transformation diagonalizing the complete Hamiltonian is explicitly constructed, thereby giving spectrum, chiral anomaly and condensate. The structures of Hilbert spaces related both...

Let X be a compact complex manifold, L → X an ample line bundle over X, and H the space of all positively curved metrics on L. We show that a pair (h0, T ) consisting of a point h0 ∈ H and a test configuration T = (L → X → C), canonically determines a weak geodesic ray R(h0, T ) in H which emanates from h0. Thus a test configuration behaves like a vector field on the space of Kähler potentials ...