An action for a prospect of $p$-adic open superstring on target Minkowski space is proposed. The constructed `worldsheet' fields taking values in the field $\mathbb{Q}_p$, but it assumed to be obtained from discrete Bruhat-Tits tree. This proven have an analog worldsheet supersymmetry and superspace also terms superfields. does not conformal symmetry, however implemented definition amplitudes. ...

There is increasing interest in two-dimensional and quasi-two-dimensional materials metamaterials for applications chemistry, physics engineering. Some of these are driven by the possible auxetic properties such materials. Auxetic frameworks expand along one direction when subjected to a perpendicular stretching force. An equiauxetic framework has unique mechanism expansion (an mode) where symm...

Let < be a complete and transitive binary relation on the set of all lotteries on finite sets of prizes. Then < is mixture continuous if and only if it satisfies the Archimedean axiom and a condition called local mixture dominance.

Let M be a number field, and WM a set of its non-Archimedean primes. Then let OM,WM = {x ∈M | ordt x ≥ 0, ∀t 6∈ WM}. Let {p1, . . . , pr} be a finite set of prime numbers. Let Finf be the field generated by all the pji -th roots of unity as j → ∞ and i = 1, . . . , r. Let Kinf be the largest totally real subfield of Finf . Then for any ε > 0, there exist a number field M ⊂ Kinf , and a set WM o...

To allow conditioning on counterfactual events, zero probabilities can be replaced by infinitesimal probabilities that range over a non-Archimedean ordered field. This paper considers a suitable minimal field that is a complete metric space. Axioms similar to those in Anscombe and Aumann (1963) and in Blume, Brandenburger and Dekel (1991) are used to characterize preferences which: (i) reveal u...

In order to avoid combinatorial rule explosion in fuzzy reasoning, in this work we explore the distributive equations of implications. In details, by means of the section of I, we give out the sufficient and necessary conditions of solutions for the distributive equation of implication I(x, T1(y, z)) = T2(I(x, y), I(x, z)), when T1 is a continuous but not Archimedean triangular norm, T2 is a co...

We prove that if X,X are closed subschemes of a torus T over a non-Archimedean field K, of complementary codimension and with finite intersection, then the stable tropical intersection along a (possibly positive-dimensional, possibly unbounded) connected componentC of Trop(X)∩Trop(X) lifts to algebraic intersection points, with multiplicities. This theorem requires potentially passing to a suit...

In [7], results about the global Jacquet-Langlands correspondence, (weak and strong) multiplicity-one theorems and the classification of automorphic representations for inner forms of the general linear group over a number field are established, under the condition that the local inner forms are split at archimedean places. In this paper, we extend the main local results of [7] to archimedean p...