Public transaction history in blockchains represents one of their key features which, alongside immutability, aim to provide an alternative to CeFi. However, this transparency comes at a price: privacy. As a result, different solutions have been proposed, that preserve privacy while maintaining all the other benefits of blockchain technology, but there currently isn't a one-size-fits-all answer to this problem. For example, zero knowledge proofs convey the validity of a transaction batch without sharing any other details, but the underlying arithmetic circuits are both complex as well as computational intensive. Umbra proposes a system that relies completely on elliptic curve cryptography, employing multiple private-public key pairs to achieve stealth payments.

We were joined by Ben DiFrancesco, founder & CEO of ScopeLift, to talk about Umbra's privacy preserving stealth token transfer system and if the need for privacy on blockchains outweighs any implicit UX frictions.

Topics discussed in this episode:
- Ben’s background
- Umbra's mission
- How Umbra works
- Non-interactive key distribution
- Potential solutions (& trade-offs) for Umbra's computational intensity
- Generating private-public key pairs by the Umbra smart contract
- User experience (UX) for senders and receivers
- Fee structure for deterring griefing attacks
- How Umbra works for ERC20 tokens & NFTs
- Privacy preserving withdrawals from stealth addresses
- Privacy vs. UX friction
- Smart wallets & account abstraction
- Prioritising privacy

Links mentioned in this episode: 
- Ben DiFrancesco on Twitter: 
- Umbra on Twitter: 
- ScopeLift on Twitter:

This episode is hosted by Friederike Ernst. Show notes and listening options: https://epicenter.tv/496

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#496 Ben DiFrancesco: Umbra – Privacy Preserving Token Transfers

Nonlinear Potential Theory of Degenerate Elliptic Equations (Dover Books on Mathematics)

Read Book : https://centerofsound.blogspot.com/?oak=B00GUBNBWM

A self-contained treatment appropriate for advanced undergraduates and graduate students, this text offers a detailed development of the necessary background for its survey of the nonlinear potential theory of superharmonic functions.Starting with the theory of weighted Sobolev spaces, this treatment advances to the theory of weighted variational capacity. Succeeding chapters investigate solutions and supersolutions of equations, with emphasis on refined Sobolev spaces, variational integrals, and harmonic functions. Chapter 7 defines superharmonic functions via the comparison principle, and chapters 8 through 14 form the core of the nonlinear potential theory of superharmonic functions. Topics include balayage  Perron's method, barriers, and resolutivity  polar sets  harmonic measure  fine topology  harmonic morphisms  and quasiregula

[READ] EPUB Nonlinear Potential Theory of Degenerate Elliptic Equations (Dover B

Penguins: The Ultimate Guide

Read Book : https://centerofsound.blogspot.com/?oak=0691162999

A spectacular photographic guide to these marvelous and enigmatic birdsPenguins are perhaps the most beloved birds. On land, their behavior appears so humorous and expressive that we can be excused for attributing to them moods and foibles similar to our own. Few realize how complex and mysterious their private lives truly are, as most of their existence takes place far from our prying eyes, hidden beneath the ocean waves. This stunningly illustrated book provides a unique look at these extraordinary creatures and the cutting-edge science that is helping us to better understand them. Featuring more than 400 breathtaking photos, this is the ultimate guide to all 18 species of penguins, including those with retiring personalities or nocturnal habits that tend to be overlooked and rarely photographed.A book that no bird enthusiast or armchair naturalist should do without, Penguins includes discus

EBOOK (READ) Penguins: The Ultimate Guide

Epicenter is a podcast about the technologies, projects & people driving decentralization and the global blockchain revolution.

Epicenter is hosted by Brian Fabian Crain, Sebastien Couture and Meher Roy. Every week, we find the most interesting people in the industry for in-depth discussions about their projects, ideas and stories.

New tracks tagged #elliptic