A discrete Markov chain is basically a random walk... on a graph, where each outgoing edge has a fixed probability. Cool fact: any initial distribution on a sufficiently nice* Markov chain converges to its stationary distribution after many steps—because it's a contraction mapping.show more

One of the simplest algorithms for sampling from a... probability distribution is Random Walk Metropolis-Hastings. It proposes new samples by taking Gaussian-distributed steps, accepting or rejecting them to maintain the target distribution. I call this pdf the "fidget spinner".show more

💿 Sonova Presents: PlayCat’s Debut into Soneium Chain Great... days ahead Sonieum 💿 Community! PlayCat has officially landed on the Soneium chain and is making its debut as an Official Builder in Soneium chain! 🐱 This is not a drill — it's a purr-fect storm of innovation, fun, and serious blockchain IP mastery. PlayCAT 🐱 is bringing the heat, helping build a future in Soneium one paw-some leap at a time! Get ready to watch this kitty take over the blockchain universe — because where PlayCat lands, the culture thrives! 💿show more

⚡ @SupraOracles is excited to announce the integration of... our decentralized Verifiable Random Function (dVRF) service on BNB Chain (BNB Chain) 🎉 This allows devs on BNB Chain to access a provably fair source of randomness for GameFi, #NFT minting, and on-chain lotteries 🎮show more

A Carnegie Mellon student launched a Markov Chain model... that reads the structure beneath the price and made $67,000 in three weeks on Polymarket. In his applied mathematics classes he studied Markov Chains - the same model physicists used to simulate neutrons in nuclear reactors. The same model describes how prices move on prediction markets. He wrote a Python script. > Takes 60 days of contract price history. > Builds a transition matrix - a map of how the price actually moves between states. > Runs 10,000 simulations in a tenth of a second. > Calibrates the result against data from 72.1 million real trades. The output is an exact probability and position size. No gut feeling. His first test day brought $3,400. A week later he improved the result and hit $17,000. His balance has now reached $67,000. full guide on how to build the same model - in the article below.show more

Most agents track price. Ours track how information propagates... through markets. That difference is where the edge comes from. The visualization below is a Shannon entropy field: a model of how uncertainty collapses and spreads as new information enters a market. Each trade, liquidity shift, or derivatives flow updates a probability distribution. When information arrives, entropy collapses locally as the market incorporates it. But that update rarely happens everywhere at once. Different venues, liquidity pools, and derivative layers incorporate signals at different speeds, creating measurable information gradients across the system. One of the analytical tools in our agents’ stack models this directly: > Entropy quantifies uncertainty embedded in each probability market > KL divergence reveals conflicting distributions across venues > Information gradients show where signals have propagated—and where they haven’t yet Prediction markets and DeFi make this particularly powerful because price already represents probability. Mapping how those probability distributions update across venues turns the market into a measurable system: a live field of information flow showing where uncertainty remains—and where probability is likely to adjust nextshow more

Institutions want to build on Ethereum and leverage its... incorruptibility, hard finality, and global liquidity. But many financial use-cases can’t be run on a chain where everything is public by default. Here’s how Prividium extends Ethereum for enterprises:show more

Institutional capital held in custody can now now access... on-chain credit markets through structured allocation via Spark. Through BitGo, capital can be deployed into Spark Savings vaults, where it is allocated across multiple credit venues within a single, structured system. Most on-chain lending requires selecting a single market or pool. Spark takes a different approach: Capital is deployed across venues based on predefined liquidity, exposure, and allocation parameters, rather than remaining fixed within one market. Reducing exposure to high-utilisation conditions where liquidity becomes constrained. This is a new path for institutional capital into on-chain credit markets. Spark is now available via BitGo institutional wallets.show more

Math quant bot on Polymarket made over $457K PnL... in 20 days - he turned $7,387 → $457k profit it uses Markov Chains to find "mispriced" windows on BTC and ETH up/down markets - made 14,200+ predictions, with ~$22,850 avg. daily profit by exploiting gaps humans miss at 3AM strategy: a 1h BTC/ETH up/down market is a binary contract it pays $1 if event happens → $0 if not Markov Chains give you the probability of the next market state based on: > current state of the market (up / down / flat) > transition matrix built from live price data > diagonal persistence value - how stable the current state is formula: p̂ − market_price ≥ 0.05 AND P(j*, j*) ≥ 0.87 bot profile: - read article below to understand how Markov Chains are used to extract edge from prediction marketsshow more

Euclid was built to unify movement across chains, turning... fragmented liquidity into a connected network. Today we have a new objective 🚀 → Complete a total of 25 transactions → 5 transactions on each chain → Each transaction must be at least $5 → Required chains: Base, Polygon | POL, Monad, BNB Chain, Arbitrum Your reward is a high-grade stamp: → "Constellation Runner" and 50,000 Astrashow more

Introducing MON Protocol Partner - Create Layer! Create Layer... (UGC.fun🍭), is making crypto easier for creators. A swiss-army knife, bringing together all the steps of a creator’s journey into lego-like modules, and that too on-chain! Crypto doesn’t need to be overwhelming. It has never been this easy for creators to come on-chain. 🧊 (& their mascots a cat!!🐱) More about CreateLayer here: UGC.fun🍭show more

We are honored to announce the first cohort of... artists joining Melody. 🎉 Melody is building a future-facing infrastructure—one where music is no longer merely streamed, but owned. In this future, every song, every melody, and every performance can exist on-chain, carrying value, liquidity, and global participation. Today, we welcome a group of artists whose creative practices already extend beyond traditional music platforms. Their work is oriented toward archives, systems, and long-term creative worlds. Rather than focusing on singular releases or immediate distribution, their practices revolve around sound archives, long-term structures, technological intervention, and sustainable creation. They engage critically with questions of music ownership, explore new modes of distribution and connection, and actively seek systems capable of holding music as an asset, a memory, and a cultural object. Melody is the infrastructure built precisely for this need—an on-chain system that supports music ownership, tokenization, pricing, and circulation, allowing creators, works, and listeners to participate continuously within a shared network. This is not merely an open onboarding. It is a historic alignment: a moment when music detaches from the distribution logic of Web2 and enters the on-chain structures of Web3—where, for the first time, it can be truly owned, sustained, and carried forward as a Real World Asset (RWA). — ARTISTS — ☆LOV£R₿0¥☆ 👉 Zhuyang Liu 👉 Will Reubin 👉 clonesForHire 👉 Neo Gao 👉 Neon Sonia 👉 CZ 🔶 BNB BNB Chain #BNBChain Nina Rongshow more

♾ Onefinity Chain ♾ The next steps have been... solidified, and the path to the future is now set. OneFinity Chain is poised to be the first EVM-compatible Sovereign Shard on Multiversᕽ, charting a clear path for the future. #MultiversX #EGLDshow more

A new primitive is on its way. xRWA enables... tokenized equities to be staked for network security — activating real-world assets directly within a multi-asset PoS architecture. Powered by $BB on BounceBit Chain.show more

Abstract now has 200ms block times live on mainnet... - making it the fastest L2 in production today. To showcase this huge upgrade, I shipped a demo cookie clicker app called "Axestract", where each click is an on-chain transaction. Try it out below! →show more

Full list of on-chain gods confirmed 24 participants, each... starting with a $1K to reach $1M👇 It's going to be fun, starting tomorrow. The full wallet list will follow. Follow + Turn on notifs to not miss any updates Blazing🔥 x OX.FUNshow more

Web3 KOL marketing has always had a tracking problem.... No real metrics. No way to prove impact. We fix it with $ADIX. Campaigns are tracked off-chain, scored on-chain, and linked to each creator’s evolving reputation profile. Every result is visible. Every payout is earned. 👉show more

SONIC HITS $5.5 BILLION USDC BRIDGED THROUGH CIRCLE'S CCTP... As announced by Sonic itself, some $5.48 billion worth of $USDC has been bridged to its network through Circle's CCTP. Circle's Cross-Chain Transfer Protocol (CCTP) is a secure, permissionless on-chain utility that enables native USDC to move across different blockchain networks by burning it on the source chain and minting it 1:1 on the destination chain. The milestone is a bullish one for Sonic itself, with stablecoins praised as perhaps the most promising sector in the blockchain industry right now.show more

Shoutout to almost 100% of our CEX partners who... have discontinued ERC20 $OM 🤝 On January 15th your $OM is marked safe from the ERC20 $OM depreciation only if it lives: 1⃣ Onchain in a MANTRA Chain Mainnet wallet 2⃣ On a CEX that has integrated MANTRA Chainshow more