Vibration attenuation to horizontal propagating waves by using periodic foundations is investigation. Periodic structure theory is introduced to design a new type of isolation foundations, which has a special frequency band gaps (or ‘attenuation zones’) that can barrier waves/vibrations propagation. Materials usually used in civil engineering are used to fabric periodic foundations with the uni...

1 The article describes the foundations of a new theory of communication as the generative core of cultural systems. We define the concepts of meaning and information in terms of complex systems theory; communication is considered as the interplay of social and cognitive dynamics, i.e., interactions between speakers and receivers, which are determined by social and cognitive rules. The theory i...

We analyze the geometric foundations of classical YangMills theory by studying the relationships between internal relativity, locality, global/local invariance, and background independence. We argue that internal relativity and background independence are the two independent defining principles of Yang-Mills theory. We show that local gauge invariance – heuristically implemented by means of the...

∗Alvaro Sandroni [[email protected]] may be reached at the Department of Economics, University of Pennsylvania. Tim Feddersen [[email protected]] may be reached at the Kellogg School of Management, Northwestern University.

In almost all current approaches to decision making, it is assumed that a decision problem is described by a set of states and set of outcomes, and the decision maker (DM) has preferences over a rather rich set of acts, which are functions from states to outcomes. However, most interesting decision problems do not come with a state space and an outcome space. Indeed, in complex problems it is o...

This paper presents a justiication of two qualitative counterparts of the expected utility criterion for decision under uncertainty, which only require bounded, linearly ordered, valuation sets for expressing uncertainty and preferences. This is carried out in the style of Savage, starting with a set of acts equipped with a complete preordering relation. Conditions on acts are given that imply ...

Homotopy type theory is a new branch of mathematics, based on a recently discovered connection between homotopy theory and type theory, which brings new ideas into the very foundation of mathematics. On the one hand, Voevodsky's subtle and beautiful"univalence axiom"implies that isomorphic structures can be identified. On the other hand,"higher inductive types"provide direct, logical descriptio...