The theory of quantum scarring -- a remarkable violation unique ergodicity rests on two complementary pillars: the existence unstable classical periodic orbits and so-called quasimodes, i.e., non-ergodic states that strongly overlap with small number system's eigenstates. Recently, interest in scars has been revived many-body setting Rydberg atom chains. While previous theoretical works have id...

1. This paper returns to a problem concerning the relation.ship between dynamic stability and Hicksian stability raised in a paper by' Lloyd Metzler over hventy-five years ago [10]. The present paper identifies -a class of matrices ""rhich has the property that dynamic stability implies Hicksian stability, as in the gross substitute or l!Metzleriantr case. F\�r&er, as in the 1'Ietzlerian case, ...

The recently proposed “correspondence principle” of Horowitz and Polchinski provides a concrete means to relate (among others) black holes with electric NS-NS charges to fundamental strings and correctly match their entropies. We test further this correspondence by examining the greybody factors in the absorption rates of neutral, minimally coupled scalars by a near extremal black hole. Perhaps...

How does a predecessor theory relate to its successor? According to Heinz Post’s General Correspondence Principle, the successor theory has to account for the empirical success of its predecessor. After a critical discussion of this principle, I outline and discuss various kinds of correspondence relations that hold between successive scientific theories. I then look in some detail at a case st...

We consider the entropy of near extremal black holes with multiple charges in the context of the recently proposed correspondence principle of Horowitz and Polchinski, including black holes with two, three and four Ramond-Ramond charges. We find that at the matching point the black hole entropy can be accounted for by massless open strings ending on the D-branes for all cases except a black hol...

Let Kn be the number of types in the sample {1, . . . , n} of a Ξ-coalescent Π = (Πt)t≥0 with mutation and mutation rate r > 0. Let Π be the restriction of Π to the sample. It is shown that Mn/n, the fraction of external branches of Π (n) which are affected by at least one mutation, converges almost surely and in L (p ≥ 1) to M := ∫∞ 0 reStdt, where St is the fraction of singleton blocks of Πt....