Related papers: Improved direct sum theorem in classical communica…
This paper has been withdrawn by the author due to an error in Lemma 3, making the (bijective) proof of Theorem 4 and Corollary 5 invalid (symmetry of k-nonnesting and k-noncrossing set partitions).
The paper has been withdrawn by change of content and some errors in the examples.
This paper has been withdrawn due to an error in the proof of Theorem 5.3.
This paper has been withdrawn by the authors owing to a mistake in the proof of the basic lemma.
This paper has been withdrawn
withdrawn by the authors because of an error.
The paper is withdrawn.
This paper has been withdrawn by the author due to a sheaf-theoretic error, in the end of the proof of the main theorem.
This paper has been withdrawn by the author due to errors.
This paper has been withdrawn by the author, due to a crucial error in the proof of Thm.1
This paper has been withdrawn by the author due to a crucial sign error in equation 1
We present an impossibility result, called a theorem about facts and words, which pertains to a general communication system. The theorem states that the number of distinct words used in a finite text is roughly greater than the number of…
This paper has been withdrawn by the author due to a gap in the proof of the main result.
Under a slightly stronger hypothesis, one improves a connectedness result of Debarre [D] for a product of two projective spaces in terms of the extension problem of formal-rational functions (see Theorems 1.3 and 1.4 of the introduction)
The last seventy years have witnessed the transition of communication from Shannon's theoretical concept to current high-efficient practical systems. Classical communication systems address the capability-deficiency issue mainly by…
Consider the following Simultaneous Message Passing (SMP) model for computing a relation f subset of X x Y x Z. In this model Alice, on input x in X and Bob, on input y in Y, send one message each to a third party Referee who then outputs a…
This paper has been withdrawn.
This paper has been withdrawn by the author due to a crucial error in last part of proof.
We use a quantum loop expansion to derive sum rule constraints on polarized photoabsorption cross sections in the Standard Model, generalizing earlier results obtained by Altarelli, Cabibbo, and Maiani. We show that the logarithmic integral…
The paper has been withdrawn due to an error in the main theorem.